hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Order (group theory)
In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element. If the group operation is denoted as a multiplication, the order of an element a of a group, is thus the smallest positive integer m such that am = e, where e denotes the identity element of the group, and am denotes the product of m copies of a. If no such m exists, the order of a is infinite.

The order of a group G is denoted by ord(G) or |G|, and the order of an element a is denoted by ord(a) or |a|, instead of  where the brackets denote the generated group.

Lagrange's theorem states that for any subgroup H of a finite group G, the order of the subgroup divides the order of the group; that is, |H| is a divisor of |G|. In particular, the order |a| of any element is a divisor of |G|.

Multiplicative group
In mathematics and group theory, the term multiplicative group refers to one of the following concepts:

the group under multiplication of the invertible elements of a field, ring, or other structure for which one of its operations is referred to as multiplication. In the case of a field F, the group is (F ∖ {0}, •), where 0 refers to the zero element of F and the binary operation • is the field multiplication,

the algebraic torus GL(1).
Debbie Davies
Debbie Davies (born August 22, 1952) is an American blues guitarist.

Davies was born in Los Angeles, California, United States. She has been the featured guitarist in several female based bands including Maggie Mayall and the Cadillacs (led by John Mayall's wife), and Fingers Taylor and the Ladyfinger Revue (who opened for Jimmy Buffett during his 1991 tour). Besides her solo work, Davies is best known for her work with Albert Collins as a member of his band, the Icebreakers, from 1988 to 1991. Over the years she has collaborated with several well-known musicians such as Tommy Shannon and Chris Layton (aka Double Trouble), Coco Montoya, J. Geils and Duke Robillard. She continues to record and tour.

J. Geils
John Warren Geils Jr. (/ɡaɪlz/) (February 20, 1946 – April 11, 2017), was an American guitarist. He was known as the leader of the J. Geils Band.

Growing up in New York City, Geils became interested in jazz and blues. After moving to Massachusetts for his college education, he formed the J. Geils Blues Band while still a student at Worcester Polytechnic Institute. After dropping the word "Blues" from their name, the band released their first album in 1970, performing soul and rhythm and blues-influenced rock music for most of the 1970s before turning to pop music in the 1980s. After the band broke up in 1985, Geils left regular performing to take up restoration and racing of automobiles, with occasional forays into music production. He continued to appear in reunion tours with the rest of his band sporadically during the 2000s and 2010s.
Terrell County, Georgia
Terrell County is a county located in the southwestern portion of the U.S. state of Georgia. As of the 2020 census, the population was 9,185. The county seat is Dawson. Terrell County is included in the Albany, Georgia metropolitan area.

U.S. Route 82 in Georgia
U.S. Route 82 (US 82) is a 232-mile-long (373 km) U.S. Highway in the U.S. state of Georgia. It travels from the Chattahoochee River at Georgetown to its eastern end, southwest of Brunswick. It travels through such cities as Cuthbert, Dawson, Albany, Sylvester, Tifton, Pearson, Waycross, and Nahunta.

In Georgia, every U.S. Highway has at least one state highway with which it travels concurrently. US 82 uses SR 50 from its western start to Dawson and SR 520 from Dawson to its eastern end.

SR 50 formerly extended across the state and ended in Jekyll Island. In 1981, it was truncated to Dawson, with its former path redesignated as SR 520. US 82 formerly ended in Midway. In 1989, US 82 and US 84 east of Waycross were swapped.
Knee Deep in the Hoopla
Knee Deep in the Hoopla is the debut album by American rock band Starship, the succeeding musical project to Jefferson Starship. It was released on September 12, 1985, by RCA and Grunt.

The album spawned four singles which all charted in the Billboard Hot 100 chart: the No. 1 hits "We Built This City" and "Sara", "Tomorrow Doesn't Matter Tonight" (No. 26) and "Before I Go" (No. 68).

Nuclear Furniture
Nuclear Furniture is the eighth album by American rock band Jefferson Starship, released in June 1984 through Grunt Records. It was the final album by the band before the departure of leader Paul Kantner and the eventual transition of the remaining members of the group to become Starship.
1993 Big East men's basketball tournament
The 1993 Big East men's basketball tournament took place at Madison Square Garden in New York City, from March 11 to March 14, 1993. Its winner received the Big East Conference's automatic bid to the 1993 NCAA tournament. It is a single-elimination tournament with four rounds.  Seton Hall finished with the best regular season conference and was awarded the #1 seed.

In the largest margin of victory in a Big East tournament championship game, Seton Hall defeated Syracuse, 103–70, to claim its second Big East tournament championship.

Big East men's basketball tournament
The Big East Men's Basketball Tournament is the championship tournament of the Big East Conference in men's basketball. The winner receives the conference's automatic bid to the NCAA tournament.

As part of the 2013 deal in which seven schools left the original Big East Conference of 1979–2013 to form a new Big East Conference and the original conference became the American Athletic Conference, the new Big East received the rights to the conference tournament.
Oksana Komissarova
Oksana Komissarova (Russian: Оксана Комиссарова; born 15 November 1964) is a Russian swimmer. She took part in the 1980 Summer Olympics and finished fifth in the 800 m freestyle event.

Between 1995 and 1999 she competed in the masters category. She won a bronze medal at the world championships in 1996; she also won three national titles and set four national records.

She was born in Volzhsky, near Volgograd and in 1982 moved to Kishinev, but then returned to Volzhsky. She has five children, born between 1987 and 2007, and works as a sports instructor for children.

Volzhsky, Volgograd Oblast
Volzhsky (Russian: Волжский, IPA: [ˈvoɫʂskʲɪɪ̯]) is an industrial city in Volgograd Oblast, Russia, located on the east bank of the Volga River and its distributary the Akhtuba, 20 kilometers (12 mi) northeast of Volgograd. Population: 321,427 (2021 census); 314,255 (2010 census); 313,169 (2002 census); 268,842 (1989 Soviet census).
Matilda of Požega
Matilda of Požega (born c. 1210 - died after 1255) was daughter of Margaret of Courtenay (d. 1270), princess of the Latin Empire of Constantinople, from her first marriage with Raoul III, Lord of Issoudun. Matilda was married (c. 1230) to John Angelos, Lord of Syrmia (d. before 1250) in the Kingdom of Hungary. After his death, she held the city of Požega in the medieval Požega County (c. 1250-1255).

Baldwin II, Latin Emperor
Baldwin II, also known as Baldwin of Courtenay (French: Baudouin de Courtenay; Greek: Βαλδουίνος Β΄ του Κουρτεναί; late 1217 – October 1273), was the last Latin Emperor ruling from Constantinople. He was the only Latin Emperor born in Constantinople.
Nikoloz Aptsiauri
Nikoloz Aptsiauri (born 24 September 1992 in Georgia) is a Georgian rugby union player who plays for Black Lion in the 2022 Currie Cup First Division. His playing position is flanker. He was named in the Black Lion squad for the 2022 Currie Cup First Division. He has also represented Georgia international in both the 15-man code and in rugby sevens.

2022 Currie Cup First Division
The 2022 Currie Cup First Division was the 84th edition of the Currie Cup. As the second-tier of the competition, it ran alongside the 2022 Currie Cup Premier Division. It was sponsored by beer brand Carling Black Label and organised by the South African Rugby Union.

The tournament was played from April to June in a single round-robin format, following the realignment of the South African domestic rugby union calendar to dovetail with the northern hemisphere and the United Rugby Championship, which features four South African sides.

The competition again featured ten sides, the seven sides who competed in the 2021 Currie Cup First Division, and teams from Georgia, Kenya and Zimbabwe. The top South African side in the 2022 Currie Cup First Division was promoted to the Premier Division for 2023, forming an eight team competition. The 2022 Currie Cup Premier Division began in January and was completed in June.
Engel (song)
"Engel" (German pronunciation: [ˈɛŋl̩] ⓘ; "Angel" or "Angels") is a song by German Neue Deutsche Härte band Rammstein. It was released in April 1997 as the first single from their second album, Sehnsucht. The female part of song's chorus is sung by Christiane "Bobo" Hebold of the German pop band Bobo in White Wooden Houses. An English version of "Engel" can be found on US special editions of Sehnsucht.
According to an interview, keyboardist Christian Lorenz came up with the main riff for this song on a synthesizer along with a whistle melody.

Till Lindemann
Till Lindemann (German pronunciation: [tɪl ˈlɪndəman]; born 4 January 1963) is a German singer-songwriter and poet, best known as the lead vocalist and lyricist of the Neue Deutsche Härte band Rammstein. Renowned for his theatrical stage performances, poetic lyrics, and distinctive bass-baritone voice, he is a central figure in the band’s international success. He was also part of the musical project Lindemann before beginning to release music under his own name. He has appeared in several films in minor roles and has published three books of poetry.

Rammstein has sold over 25 million records worldwide, with five of their albums receiving platinum status, and Lindemann has been listed among the "50 Greatest Metal Frontmen of All Time" by Roadrunner Records.
Yu County, Hebei
Yu County, also known by its Chinese name Yuxian, is a county under the jurisdiction of the prefecture-level city of Zhangjiakou in northwestern Hebei province, China. Yuzhou town (蔚州镇) is the county seat.

Datong
Datong is a prefecture-level city in northern Shanxi Province in the People's Republic of China. It is located in the Datong Basin at an elevation of 1,040 metres (3,410 ft) and borders Inner Mongolia to the north and west and Hebei to the east. As of the 2020 census, it had a population of 3,105,591 of whom 1,790,452 lived in the built-up (or metro) area made of the 2 out 4 urban districts of Pingcheng and Yungang as Yunzhou and Xinrong are not conurbated yet.
Strasse des 18. Oktober
The Strasse des 18. Oktober, or Straße des 18. Oktober (see ß) (in English: Street of 18th October) in Leipzig, Germany, leads as a continuation of Windmühlenstrasse from the square in front of Bayerischer Bahnhof (Bayrischer Platz) in a south-easterly direction towards the Monument to the Battle of the Nations. Its name commemorates the day of the decisive victory of the allied troops over Napoleon in the Battle of Leipzig on 18 October 1813.

P2 (panel building)
P2 is the abbreviation for a type of residential panel building found in former East Germany. The P stands for parallel and refers to load-bearing walls arranged parallel to wall surfaces. 2 denotes the arrangement of two stairways in a building.

The first building of this type was built in 1961 as an experimental building in Berlin-Lichtenberg. The original building was located at Erich-Kuttner-Straße 9-15 in the Fennpfuhl district and is now a listed building.
Ave Maria Lane
Ave Maria Lane is a street in the City of London, to the west of St. Paul's Cathedral. It is the southern extension of Warwick Lane, between Amen Corner and Ludgate Hill.

On the feast day of Corpus Christi, monks would say prayers in the Corpus Christi procession to St. Paul's Cathedral. They set off from Paternoster Row chanting the Lord's Prayer (Pater noster being the opening words of the prayer in Latin). They would reach the final "Amen" as they turned the corner into Ave Maria Lane, after which they would chant Hail Mary (Ave Maria in Latin).

Ave Maria Lane is home to the Grade I listed building Stationers' Hall, the livery hall of the Worshipful Company of Stationers and Newspaper Makers since 1670.

According to Colsoni's 1693 guide to London (Le Guide de Londres) Ave Maria Lane was a gathering place for German expatriates ("... à l'Enseigne du Black-boy au Latin Coffee-house ...").

The marathon route of the 2012 Summer Olympics passed along Ave Maria Lane.

Ludgate Hill
Ludgate Hill is a street and surrounding area, on a small hill in the City of London, England. The street passes through the former site of Ludgate, a city gate  that was demolished – along with a gaol attached to it – in 1760.

The area includes St Paul's Cathedral. The modern cathedral, it has been claimed, was built on a site that – during the Roman British era of the early first millennium – was occupied by a major Roman temple, dedicated to the goddess Diana.

Ludgate Hill itself is traditionally regarded as one of a trio of hills in Central London, the others being Tower Hill and Cornhill. The highest point in the City is just north of St Paul's, at 17.6 metres (58 ft) above sea level.

The modern street named Ludgate Hill, which was previously a much narrower thoroughfare named Ludgate Street, runs between St Paul's Churchyard and Ludgate Circus (built in 1864), at which point it becomes Fleet Street.
Luke Fickell
Luke Joseph Fickell (born August 18, 1973) is an American college football coach and former player. He is the head football coach for the University of Wisconsin–Madison, a position he has held since 2023. Previously he was the head coach at the University of Cincinnati, a position he held from 2016 through 2022. Fickell played college football as a nose guard at Ohio State University from 1993 to 1996 and then was an assistant coach for the Buckeyes. He was interim head coach at Ohio State for the entire 2011 season.

AFCA Coach of the Year Award
The AFCA Coach of the Year Award is given annually to college football coaches by the American Football Coaches Association (AFCA). Separate awards are presented at all levels of U.S. college football. The AFCA as a whole presents the award for the four divisions of NCAA football—Division I FBS, Division I FCS, Division II, and Division III—plus the NAIA. The AFCA's section for community and junior colleges presents an identical award to a head coach at a two-year institution. The award has had several different sponsors over the years, including Eastman Kodak Corporation, and thus also been named the Kodak Coach of the Year Award.
Marconi (Rome Metro)
Marconi is a station on line B of the Rome Metro. It is located at the point where the via Ostiense passes under the viale Guglielmo Marconi, after which it is named. Its exits are located on viale Marconi and via Ostiense.

Before it opened, there was a "EUR Marconi" station, now renamed "EUR Palasport".

Via Ostiensis
The Via Ostiensis (Italian: via Ostiense) was an important road in ancient Rome. It runs west 30 kilometres (19 mi) from the city of Rome to its important sea port of Ostia Antica, from which it took its name. The road began near the Forum Boarium, ran between the Aventine Hill and the Tiber River along its left (eastern) bank, and left the city's Servian Walls through the Porta Trigemina. When the later Aurelian Walls were built, the road left the city through the Porta Ostiensis (Porta San Paolo). In the Late Roman Empire, trade suffered under an economic crisis, and Ostia declined as an important port. With the accompanying growth of importance of the Via Portuensis from the time of Constantine onwards, that of the Via Ostiensis correspondingly decreased.
Birimdik
Birimdik (/ˌbɪrɪmˈdɪk/ BIRR-im-DIK; Kyrgyz: Биримдик [ˌpɪɾɪmˈtɪ́k]; lit. 'Unity'), officially the Party of Democratic Socialism–Eurasian Choice "Birimdik", is a pro-Jeenbekov political party in Kyrgyzstan, founded in 2005 as the Birimdik Democratic Party (Kyrgyz: «Биримдик» демократиялык партиясы; Russian: Демократическая партия «Биримдик»). On 8 May 2013, it was registered with the current name. The party includes many former officials and deputies.

The political ideology of the party is Eurasianism, socialism, democracy and parliamentarism.

As of 2019, despite labeling itself as a democratic socialist party, Unity is in effect a successor to the SDPK, a centre-left social-democratic party with some centrist tendencies.

The party has territorial subdivisions in all regions of Kyrgyzstan, there are governing bodies of the party, such as: the political council, the executive committee and the audit commission.

Kyrgyzstan (political party)
Kyrgyzstan (Kyrgyz: Кыргызстан, romanized: Kırgızstan) is an eponymously-named centrist political party in Kyrgyzstan. It was established in May 2015, by Kanatbek Isaev, a former Respublika Member of Parliament. It is viewed as "utterly apolitical" and focuses on supporting the government of Kyrgyz President Sooronbay Jeenbekov.

The party has a strong support base in the south of the country. In the 2015 Parliamentary elections, the Kyrgyzstan Party won 18 seats, having gained 12.75% of the votes.
Malicious Damage Act 1861
The Malicious Damage Act 1861 (24 & 25 Vict. c. 97) is an act of the Parliament of the United Kingdom of Great Britain and Ireland (as it then was). It consolidated provisions related to malicious damage from a number of earlier statutes into a single act. For the most part these provisions were, according to the draftsman of the act, incorporated with little or no variation in their phraseology. It is one of a group of Acts sometimes referred to as the Criminal Law Consolidation Acts 1861. It was passed with the object of simplifying the law. It is essentially a revised version of an earlier consolidation Act, the Malicious Injuries to Property Act 1827 (7 & 8 Geo 4 c 30) (and the equivalent Irish Act), incorporating subsequent statutes.

The act applied in the Republic of Ireland until 1991 and still applies in some Commonwealth countries which were parts of the British Empire in 1861, such as Sierra Leone.

Criminal Law Act 1967
The Criminal Law Act 1967 (c. 58) is an act of the Parliament of the United Kingdom that made some major changes to English criminal law, as part of wider liberal reforms by the Labour government elected in 1966. Most of it is still in force.
Sir Robert Ho Tung Library
The Sir Robert Ho Tung Library (Portuguese: Biblioteca Sir Robert Ho Tung; Chinese: 何東圖書館) is a public library in São Lourenço, Macau, China. A part of the Macao Public Library system, is located in St. Augustine's Square in the Historic Centre of Macau, a UNESCO World Heritage Site. The library is housed in a mansion that has good historical, cultural and architectural value. The old building has the head office of the library system, located on the ground floor, and the offices of the Macao ISBN Agency, located on the second floor.

Historic Centre of Macau
The Historic Centre of Macao (Portuguese: Centro Histórico de Macau, Chinese: 澳門歷史城區) is a collection of over twenty locations that witness the unique assimilation and co-existence of Chinese and Portuguese cultures in Macau, a former Portuguese colony.  It represents the architectural legacies of the city's cultural heritage, including monuments such as urban squares, streetscapes, churches and temples.

In 2005 the Historic Centre of Macau was inscribed on the UNESCO World Heritage List, making it the 31st designated World Heritage Site in China.  It was described by UNESCO as: "with its historic street, residential, religious and public Portuguese and Chinese buildings, the historic centre of Macao provides a unique testimony to the meeting of aesthetic, cultural, architectural and technological influences from East and West," and "...it bears witness to one of the earliest and longest-lasting encounters between China and the West, based on the vibrancy of international trade."
Sydney Maddock Robinson
Sir Sydney Maddock Robinson (3 December 1865 – 17 May 1948) was a British barrister and colonial judge who served as Chief Justice of the High Court of Burma from 1922 to 1925.

The son of Walter Allen Robinson, Sydney Robinson was educated at Hereford Cathedral School and Brasenose College, Oxford. He was called to the Bar at the Middle Temple in 1888, then practised at Lahore. He was appointed Public Prosecutor, Lahore in 1891, and then successively Junior Government Advocate, Government Advocate, Legal Remembrancer to the Punjab Government, and Secretary to the Punjab Legislative Council.

He was appointed Judge of the Chief Court of Lower Burma in 1908 and became Chief Judge in 1920. On the creation of a separate High Court for Burma in 1922, Robinson was appointed as its first Chief Justice, having been knighted earlier that year. He retired in 1925.

Hereford Cathedral School
Hereford Cathedral School is a private, co-educational boarding and day school for pupils of ages 3 to 18 years, from nursery to sixth form. Its headmaster is a member of the Headmasters' and Headmistresses' Conference. The school's premises are next to Hereford Cathedral in Hereford.
Claverley
Claverley is a village and civil parish in east Shropshire, England. The parish also includes the hamlets of Beobridge, Hopstone, Upper Aston, Ludstone, Heathton and a number of other small settlements.

Claverley village is east of the market town of Bridgnorth, near the Staffordshire county boundary. The village has two public houses, The Plough and The Crown. Originally there were three pubs (top middle and bottom) however the bottom pub was converted into apartments after closing in the late 2010's.

On the edge of the village is the Arts and Crafts style mansion, Brook House; it was built in 1937 for the Gibbons family, who made their money as lock and window merchants in Wolverhampton.

Bridgnorth
Bridgnorth is a market town and civil parish in Shropshire, England,  named after a bridge over the River Severn. The river divides the town into High Town and Low Town, the upper town on its right bank and the lower on its left bank. The population at the 2011 Census was 12,079.
2019 Big Sky Conference men's basketball tournament
The 2019 Big Sky Conference men's basketball tournament was the postseason tournament for the Big Sky Conference, held March 13–16 at CenturyLink Arena in Boise, Idaho. It was the 44th edition of the tournament, which debuted in 1976.

Regular season and defending tournament champion Montana defeated Eastern Washington 68–62 in the championship game to gain the conference's automatic bid to the 68-team NCAA tournament. It was Montana's eleventh Big Sky tournament title, which leads the conference; its first came in 1991.

1976 Big Sky Conference men's basketball tournament
The 1976 Big Sky Conference men's basketball tournament was held March 5–6 at the Wildcat Gym at Weber State College in Ogden, Utah. This was the first edition of the tournament.

The top three teams had the same 9–5 conference record and the fourth was a game back; the top two seeds won their semifinals. Boise State defeated Weber State in the championship game, 77–70 in overtime. and received an automatic bid to the 32-team NCAA tournament, their first appearance, but fell to UNLV in Eugene, Oregon.