hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Center (group theory)
In abstract algebra, the center of a group G is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning center. In set-builder notation,

Z(G) = {z ∈ G | ∀g ∈ G, zg = gz}.

The center is a normal subgroup, , and also a characteristic subgroup, but is not necessarily fully characteristic. The quotient group, G / Z(G), is isomorphic to the inner automorphism group, Inn(G).

A group G is abelian if and only if Z(G) = G. At the other extreme, a group is said to be centerless if Z(G) is trivial; i.e., consists only of the identity element.

The elements of the center are central elements.

Commutator subgroup
In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.

The commutator subgroup is important because it is the smallest normal subgroup such that the quotient group of the original group by this subgroup is abelian. In other words,  is abelian if and only if  contains the commutator subgroup of . So in some sense it provides a measure of how far the group is from being abelian; the larger the commutator subgroup is, the "less abelian" the group is.
Critics' Week
Critics' Week (French: Semaine de la critique), until 2008 called International Critics' Week (Semaine internationale de la critique), is a parallel section to the Cannes Film Festival organized by the French Syndicate of Cinema Critics.

2018 Cannes Film Festival
The 71st annual Cannes Film Festival took place from 8 to 19 May 2018. Australian actress Cate Blanchett served as jury president for the main competition. Japanese filmmaker Hirokazu Kore-eda won the Palme d'Or, the festival's top prize, for his drama film Shoplifters, marking Japan's first win after more than twenty years.

The official festival poster features Jean-Paul Belmondo and Anna Karina from Jean-Luc Godard's 1965 film Pierrot le Fou. It is the second time the festival poster was inspired by Godard's film after his 1963 film Contempt at the 2016 festival. According to festival's official statement, the poster is inspired by and paid tribute to the work of French photographer Georges Pierre.

The festival opened with Everybody Knows by Asghar Farhadi, and closed with The Man Who Killed Don Quixote by Terry Gilliam.
Market town
A market town is a settlement (commonly in Europe) that obtained a market right (by custom or royal charter) in the Middle Ages, which allowed it to host a regular market; this distinguished it from a village or a city. In Britain, small rural towns with a hinterland of villages are still commonly called market towns, and is sometimes reflected in their names (e.g. Downham Market, Market Rasen, or Market Drayton).

Modern markets are often in special halls, but this is a relatively recent development. Historically the markets were open-air, held in what is usually called (regardless of its actual shape) the market square or market place, sometimes centred on a market cross (mercat cross in Scotland). They were and are typically open one or two days a week. In the modern era, the rise of permanent retail establishments reduced the need for periodic markets.

Non-metropolitan district
Non-metropolitan districts, or colloquially "shire districts", are a type of local government district in England. As created, they are sub-divisions of non-metropolitan counties (colloquially shire counties) in a two-tier arrangement. Non-metropolitan districts with borough status are known as boroughs, able to appoint a mayor. Some shire counties, for example Cornwall, now have no sub-divisions so are a single non-metropolitan district.

Typically, a district will consist of a market town and its more rural hinterland. However, districts are diverse, with some being mostly urban (such as Dartford) and others more polycentric (such as Thurrock).
Common bream
The common bream (Abramis brama), also known as the freshwater bream, bream, bronze bream, carp bream or sweaty bream, is a European species of freshwater fish in the family Leuciscidae. It is now considered to be the only species in the genus Abramis.

Vimba vimba
Vimba vimba, called also the vimba bream, vimba, zanthe, or zarte, is a species of ray-finned fish belonging to the family Leuciscidae, the daces, Eurasian minnows and related species. This species is found in Europe and Western Asia, where it largely lives in brackish water but makes an annual migration up-river each year to breed.
Steve Elkington
Stephen John Elkington (born 8 December 1962) is an Australian professional golfer on the PGA Tour Champions. Formerly on the PGA Tour, he spent more than fifty weeks in the top-10 of the Official World Golf Ranking from 1995 to 1998.
Elkington won a major title at the PGA Championship in 1995, and is a two-time winner of The Players Championship.

Chip Beck
Charles Henry "Chip" Beck (born September 12, 1956) is an American professional golfer. He has four victories on the PGA Tour and twenty runner-up finishes. He spent 40 weeks in the top 10 of the Official World Golf Rankings between 1988 and 1989 and was the second player to shoot a 59 on the PGA Tour.
Essex County, New York
Essex County is a county in the U.S. state of New York. As of the 2020 census, the population was 37,381. Its county seat is the hamlet of Elizabethtown. Its name is from the English county of Essex. Essex is one of two counties that are entirely within the Adirondack Park, the other being Hamilton County. The county is part of the North Country region of the state.

Adirondack High Peaks
The Adirondack High Peaks are a set of 46 mountain peaks in the Adirondack Mountains of New York state. They have been popular hiking destinations since the late 1920s, when the list of peaks was published in Russell Carson's book Peaks and Peoples of the Adirondacks. Those who have climbed all 46 High Peaks are eligible to join the Adirondack Forty-Sixers club.
Udinese Calcio
Udinese Calcio (Italian pronunciation: [udiˈneːze ˈkaltʃo, -eːse -]; "Udinese Football") is a professional football club based in Udine, Friuli-Venezia Giulia, Italy. The team currently competes in the Serie A, the first tier of Italian football. It was founded on 30 November 1896 as a sports club, and on 5 July 1911 as a football club.

The traditional team home kit is black and white striped shirt, black shorts, and white socks. The club broadcasts on channel 110 (Udinese Channel) on digital terrestrial television in the north-east of Italy. It has many fans in Friuli and the surrounding areas.

Modena FC 2018
Modena Football Club 2018, commonly referred to as Modena, is an Italian football club based in Modena, Emilia-Romagna. The club was founded in 1912, and refounded in 2018, having spent the majority of its existence playing in Serie B. They play in Serie B, having won 2021–22 Serie C's Group B title.
Agatha Christie's Poirot
Agatha Christie's Poirot, or simply Poirot (UK: /pwɑːroʊ/), is a British mystery drama television programme that aired on ITV from 8 January 1989 to 13 November 2013. The ITV show is based on one of Agatha Christie's famous crime fiction series, which revolves around the fictional private investigator Hercule Poirot. David Suchet stars as the title character. Initially produced by LWT, the series was later produced by ITV Studios. The series also aired on VisionTV in Canada, and on PBS and A&E in the US.

The programme ran for 13 series and 70 episodes in total. Each episode was adapted from a novel or short story by Christie that featured Poirot. At the programme's conclusion, which finished with "Curtain: Poirot's Last Case", based on the 1975 novel of the same name, every major literary work by Christie that featured the title character had been adapted.

Miss Marple (TV series)
Miss Marple, titled Agatha Christie's Miss Marple in the series, is a British television series based on the Miss Marple murder mystery novels by Agatha Christie, starring Joan Hickson in the title role. It aired from 26 December 1984 to 27 December 1992 on BBC One. All twelve original Miss Marple novels by Christie were dramatised.

The adaptations were written by T. R. Bowen, Julia Jones, Alan Plater, Ken Taylor and Jill Hyem; and the series was produced by George Gallaccio. In addition to its availability on VHS and DVD, the series began to be released on Blu-ray Disc in October 2014, marking its 30th anniversary.
Kent, New York
Town of Kent is a town in Putnam County, New York, United States. The population was 12,900 at the 2020 census. The name is that of an early settler family. The town is in the north-central part of the Putnam County. Many of the lakes are reservoirs for New York City.

Putnam Valley, New York
Putnam Valley is a town in Putnam County, New York, United States.  The population was 11,762 at the 2020 census. Its location is northeast of New York City, in the southwestern part of Putnam County. Putnam Valley calls itself the "Town of Lakes".
2011 Currie Cup First Division
The 2011 Currie Cup First Division was contested from 15 July to 14 October 2011. The tournament (known as the Absa Currie Cup First Division for sponsorship reasons) was the second tier of the 73rd season of the Currie Cup, an annual rugby union competition featuring the fourteen South African provincial unions.

The tournament was won by Boland Cavaliers, who beat the Eastern Province Kings 43–12 in the final played on 14 October 2011. No team was promoted to the top-tier Currie Cup Premier Division competition for 2012.

2011 Vodacom Cup
The 2011 Vodacom Cup was contested from 25 February to 13 May 2011. The tournament was the 14th edition of the Vodacom Cup, an annual domestic South African rugby union competition, and was played between the fourteen provincial teams in South Africa, as well as Namibian side Welwitschias and Argentine side Pampas XV.

The tournament was won by Pampas XV for the first time; they beat the Blue Bulls 14–9 in the final played on 13 May 2011.
Bulgarians
Bulgarians (Bulgarian: българи, romanized: bŭlgari, IPA: [ˈbɤɫɡɐri]) are a nation and South Slavic ethnic group native to Bulgaria and its neighbouring region, who share a common culture, history and language. They form the majority of the population in Bulgaria, while in North Macedonia, Ukraine, Moldova, Serbia, Albania, Romania, Hungary and Greece they exist as historical communities.

Slovaks
The Slovaks (Slovak: Slováci [ˈslɔvaːtsi] (historical Sloveni [ˈslɔveɲi]), singular: Slovák [ˈslɔvaːk] (historical: Sloven [ˈslɔven]), feminine: Slovenka [ˈslɔveŋka], plural: Slovenky [ˈslɔveŋki]) are a West Slavic ethnic group and nation native to Slovakia who share a common ancestry, culture, history and speak the Slovak language.

In Slovakia, c. 4.4 million are ethnic Slovaks of 5.4 million total population. There are Slovak minorities in many neighboring countries including Austria, Croatia, Czech Republic, Hungary, Poland, Romania, Serbia and Ukraine and sizeable populations of immigrants and their descendants in Australia, Canada, France, Germany, United Kingdom and the United States among others, which are collectively referred to as the Slovak diaspora.
Palearctic realm
The Palearctic (or Palaearctic) is the world's largest biogeographic realm. Confined almost entirely to the Eastern Hemisphere, it stretches across Europe and Asia, north of the foothills of the Himalayas, and North Africa.

The realm consists of several bioregions: the Mediterranean Basin; North Africa; North Arabia; Western, Central, South and East Asia. The Palaearctic realm also has numerous rivers and lakes, forming several freshwater ecoregions.

Both the eastern and westernmost extremes of the Paleartic span into the Western Hemisphere, including Cape Dezhnyov in Chukotka Autonomous Okrug to the east and Iceland to the west. The term was first used in the 19th century, and is still in use as the basis for zoogeographic classification.

Balkan mixed forests
The Balkan mixed forests are a terrestrial ecoregion of southeastern Europe according to both the WWF and Digital Map of European Ecological Regions by the European Environment Agency. It belongs in the temperate broadleaf and mixed forests biome and the Palearctic realm.
Lyngby Boldklub
Lyngby Boldklub (Danish pronunciation: [ˈløŋˌpyˀ ˈpʌlˀtkʰlup]) is a professional football club based in Lyngby, Denmark, founded in 1921. It is based at Lyngby Stadion. The club play in the Danish 1st Division. From 1994 to 2001 the club was known as Lyngby FC. The club has won the Danish championship twice (1983 and 1992) and the Danish Cup three times (1984, 1985 and 1990).

Odense Boldklub
Odense Boldklub (Danish pronunciation: [ˈoˀðn̩sə ˈpʌlˀtkʰlup]; also known as Odense BK or the more commonly used OB) is a Danish professional football club based in the city of Odense, in southern Denmark. The club has won three Danish championships and five Danish Cup trophies. OB play in the Danish Superliga and their home field is Nature Energy Park. OB's clubhouse is located in Ådalen near Odense River.
Alexander Shmidt
Alexander Vladimirovich Shmidt (Russian: Алекса́ндр Влади́мирович Шми́дт; 15 August 1911 – 5 May 1987) was a Russian-Soviet realist painter, graphic artist, and Art teacher who lived and worked in Leningrad. He was a member of the Leningrad Union of Artists, regarded as one of representatives of the Leningrad School of Painting.

Piotr Vasiliev
Piotr Konstantinovich Vasiliev (Russian: Пё́тр Константи́нович Васи́льев; 26 January 1909 – 9 June 1989) was a Russian Soviet realist painter, who lived and worked in Leningrad. He was a member of the Leningrad Union of Artists and regarded as one of representatives of the Leningrad school of painting.
Benedict Biscop
Benedict Biscop (c. 628 – 690), also known as Biscop Baducing, was an Anglo-Saxon abbot and founder of Monkwearmouth-Jarrow Priory (where he also founded the famous library). Following his death, he was canonized as a saint.

It has been suggested that Baducing appears as Biscop Beding, the son of Beda Bubbing, King of Mercia in the Lyndsey/Lindfearnan lists of geneaologies held by the Anglian Collection and great-grandfather of Alfred The Great.

Jarrow
Jarrow (/ˈdʒæroʊ/ or /ˈdʒærə/) is a town in South Tyneside in the county of Tyne and Wear, England. Historically in County Durham, it is on the south bank of the River Tyne, about three miles (five kilometres) from the east coast. It is home to the southern portal of the Tyne Tunnel and five miles (eight kilometres) east of Newcastle upon Tyne. At the 2021 census the Jarrow built up area as defined by the Office for National Statistics had a population of 29,470.

In the eighth century, St Paul's Monastery in Jarrow (now Monkwearmouth–Jarrow Abbey) was the home of the Venerable Bede, who is regarded as the greatest Anglo-Saxon scholar and the father of English history. The town is part of the historic County Palatine of Durham. From the middle of the 19th century until 1935, Jarrow was a centre for shipbuilding, and was the starting point of the Jarrow March against unemployment in 1936.
Piotr Nazarov
Piotr Fedorovich Nazarov (Russian: Пё́тр Фё́дорович Наза́ров; 25 December 1921 – 19 April 1988) was a Soviet and Russian painter and art teacher, who lived and worked in Leningrad city, and who is regarded as one of representatives of the Leningrad school of painting.

Gavriil Malysh
Gavriil Kondratievich Malysh (Russian: Гаврии́л Кондра́тьевич Ма́лыш; March 25, 1907 – October 25, 1998) was a Soviet, Russian painter, watercolorist, and graphic artist, lived and worked in Saint Petersburg, regarded as one of the brightest representatives of the Leningrad school of painting, most famous for his decorative still lifes and landscapes.
JD McDonagh
Jordan Devlin (born 15 March 1990) is an Irish professional wrestler. He is signed to WWE, where he performs on the Raw brand under the ring name JD McDonagh. He is a member of The Judgment Day, and a former two-time World Tag Team Champions with Finn Bálor. He is a former one-time NXT Cruiserweight Champion, where his 439-day reign stands as the longest in the title's history.

Devlin's other accomplishments on the European independent circuit include being a two-time OTT World Champion and a one-time PROGRESS Tag Team Champion. He is also known for his tenure under the ring name Frank David with Pro Wrestling Zero1 in Japan, where he became a one-time NWA International Lightweight Tag Team Champion.

Bron Breakker
Bronson Rechsteiner (born October 24, 1997) is an American professional wrestler and former football player. He is signed to WWE, where he performs on the Raw brand under the ring name Bron Breakker, and is a member of The Vision stable.

Born in Woodstock, Georgia, Rechsteiner played high school football and briefly joined the Baltimore Ravens as an undrafted free agent fullback. He made his professional wrestling debut in 2020 and signed with WWE in 2021, where he spent three years in the NXT developmental brand before joining the main roster in 2024.

A second-generation professional wrestler, Rechsteiner is the son of Rick Steiner and the nephew of Scott Steiner (who performed together as the Steiner Brothers). He is a former two-time WWE Intercontinental Champion, two-time NXT Champion, and one-time NXT Tag Team Champion. He was voted "Rookie of the Year" for 2022 by readers of the Wrestling Observer Newsletter.
Meer Uitgebreid Lager Onderwijs
Meer Uitgebreid Lager Onderwijs (Dutch, lit. 'more advanced primary education') was during part of the twentieth century a level of education in the Netherlands, Suriname and the Dutch East Indies. The system was comparable with the junior high school level in the US education system. Its successors were the mavo and vbo, now both replaced by VMBO.

In Suriname, MULO was a four year program. It was split into MULO-A which was focused on business and MULO-B which was focused on science. After graduating, students could move onto three-year VWO leading to university or a two-year HAVO leading to higher vocational training. In 2021, it was replaced with "voortgezet onderwijs" in Suriname.

Hollandsch-Inlandsche School
The Hollandsch-Inlandsche School (HIS; Dutch for Dutch school for natives) was a school during the Dutch colonial era in Indonesia. The school, was first established in 1914, following with the enactment of the Dutch Ethical Policy. The school was at the Low Education level (Lager Onderwijs) or at the level of basic education today. The school was intended for the population of indigenous Indonesian descent, Generally reserved for children from the noble class, prominent figures, or civil servants. The length of the school programme was seven years.
Black grouse
The black grouse (Lyrurus tetrix), also known as northern black grouse, Eurasian black grouse, blackgame or blackcock, is a large bird in the grouse family. It is a sedentary species, spanning across the Palearctic in moorland and steppe habitat when breeding, often near wooded areas. They will spend the winter perched in dense forests, feeding almost exclusively on the needles of conifers. The black grouse is one of two species of grouse in the genus Lyrurus, the other being the lesser-known Caucasian grouse.

The female is greyish-brown and has a cackling or warbling call. She takes all responsibility for nesting and caring for the chicks, as typical with most galliforms.

The black grouse's genome was sequenced in 2014.

Boreal owl
The boreal owl or Tengmalm's owl (Aegolius funereus) is a small owl in the "true owl" family Strigidae. It is known as the boreal owl or, more rarely, Richardson's owl after Sir John Richardson, in North America, and as Tengmalm's owl in Europe and Asia, after the Swedish naturalist Peter Gustaf Tengmalm.

Due to its nocturnal habits and preferred inaccessible taiga forest habitat, it is rarely seen by humans; when met with, it is however often extremely confiding, showing little or no fear of people, and only flying off if approached to within 3–5 metres.
General Mills
General Mills, Inc., is an American multinational manufacturer and marketer of branded consumer foods sold through retail stores. Founded on the banks of the Mississippi River at Saint Anthony Falls in Minneapolis, the company originally gained fame for being a large flour miller. It is headquartered in Golden Valley, Minnesota, a suburb of Minneapolis.

Today, the company markets many well-known North American brands, including Gold Medal flour, Annie's Homegrown, Lärabar, Cascadian Farm, Betty Crocker, Nature Valley, Totino's, Pillsbury, Old El Paso, Häagen-Dazs, as well as breakfast cereals under the General Mills name, including Cheerios, Wheaties, Chex, Lucky Charms, Trix, Cocoa Puffs, and the monster cereals.

Quaker Oats Company
The Quaker Oats Company, known as Quaker, is an American food conglomerate based in Chicago, Illinois. As Quaker Mill Company, the company was founded in 1877 in Ravenna, Ohio. In 1881, Henry Parsons Crowell bought the company and launched a national advertising campaign for Quaker Oats.

In 1911, the company acquired the Great Western Cereal Company. The iconic cylindrical package was introduced in 1915. The company's logo, which depicts a Quaker man, has had several iterations.

In 1983, Quaker acquired Stokely-Van Camp, Inc., the maker of Van Camp's and Gatorade. In 2001, PepsiCo bought Quaker Oats for $14 billion, primarily to acquire the Gatorade brand.
Gyro Gearloose
Gyro Gearloose (/ˈdʒaɪroʊ ˈɡɪərluːs/ JY-roh GHEER-looss) is a cartoon character created in 1952 by Carl Barks for Disney comics. An anthropomorphic chicken, he is part of the Donald Duck universe, appearing in comic book stories as a friend of Donald Duck, Scrooge McDuck, and anyone who is associated with them. He was also featured in the animated series DuckTales. Gyro first appeared in the Carl Barks comic "Gladstone's Terrible Secret" (Walt Disney's Comics and Stories #140, May 1952), and was the regular lead character in 4-page backup stories in Barks' issues of Uncle Scrooge, starting with issue #13 (March 1956) and continuing through #41 (March 1963).

Duck family (Disney)
The Duck family is a fictional family of cartoon ducks related to Disney character Donald Duck. The family is also related to the Coot, Goose, and Gander families, as well as the Scottish Clan McDuck. Besides Donald, the best-known members of the Duck family are Huey, Dewey, and Louie, Donald's triplet nephews.

Members of the Duck family appear most extensively in Donald Duck comics (although some have made animated appearances). In 1993, American comics author Don Rosa published a Duck Family Tree that established the characters' relationships in his stories. He also created a fictional timeline for when certain characters were born (All birth/death dates given below are Rosa's). Other comics authors both before and after have shown variations in the family.
Salem Al Fakir
Lars Salem Al Fakir (Arabic: لارس سليم الفقير; born 27 October 1981) is a Swedish musician, singer, songwriter and record producer. He regularly collaborates with Vincent Pontare as the songwriting and production duo Vargas and Lagola. Together, they have worked with many artists, including Avicii, Axwell & Ingrosso, Madonna, Seinabo Sey, Lady Gaga and the Swedish band Ghost. In addition to his songwriting and production work, he releases alternative pop music as Vargas & Lagola.

Magnus Lidehäll
Magnus Lidehäll is a Swedish award-winning producer, composer, and songwriter. He works closely with the songwriting duo Vargas & Lagola – with whom he won the composer of the year award at the Swedish Grammy Awards in 2014. Together they have produced, written, and/or co-written songs for Madonna, Wyclef Jean & Avicii ("Divine Sorrow"), Veronica Maggio and Petter, to name a few.