OpenLLM-France/wikimedia huggingface dataset:
# Schreier coset graph

In the area of mathematics called combinatorial group theory, the Schreier coset graph is a graph associated with a group G, a generating set of G, and a subgroup ofG. The Schreier graph encodes the abstract structure of the group modulo an equivalence relation formed by the cosets of the subgroup.
The graph is named after Otto Schreier, who used the term "Nebengruppenbild". An equivalent definition was made in an early paper of Todd and Coxeter.

## Description

Given a group G, a subgroup H ≤ G, and a generating set S = {s$_i$ : i in I} of G, the Schreier graph Sch(G, H, S) is a graph whose vertices are the right cosets Hg = {hg : h in H} for g in G and whose edges are of the form (Hg, Hgs) for g in G and s in S.
More generally, if X is any G-set, one can define a Schreier graph Sch(G, X, S) of the action of G on X (with respect to the generating set S): its vertices are the elements of X, and its edges are of the form (x, xs) for x in X and s in S. This includes the original Schreier coset graph definition, as H\G is a naturally a G-set with respect to multiplication from the right. From an algebraic-topological perspective, the graph Sch(G, X, S) has no distinguished vertex, whereas Sch(G, H, S) has the distinguished vertex H, and is thus a pointed graph.
The Cayley graph of the group G itself is the Schreier coset graph for H = {1$_G$} (Gross & Tucker 1987, p. 73).
A spanning tree of a Schreier coset graph corresponds to a Schreier transversal, as in Schreier's subgroup lemma (Conder 2003).
The book "Categories and Groupoids" listed below relates this to the theory of covering morphisms of groupoids. A subgroup H of a group G determines a covering morphism of groupoids $p:K\rightarrow G$ and if S is a generating set for G then its inverse image under p is the Schreier graph of (G, S).

## Applications

The graph is useful to understand coset enumeration and the Todd–Coxeter algorithm.
Coset graphs can be used to form large permutation representations of groups and were used by Graham Higman to show that the alternating groups of large enough degree are Hurwitz groups (Conder 2003).
Stallings' core graphs are retracts of Schreier graphs of free groups, and are an essential tool for computing with subgroups of a free group.
Every vertex-transitive graph is a coset graph.
# Eddie Bowman

Edward Bowman (born 12 November 1944) is an English former professional rugby league footballer who played in the 1960s, 1970s and 1980s. He played at representative level for Great Britain and Cumberland, and at club level for Whitehaven, Workington Town, Leigh and Wigan, as a prop, or second-row.

## Early life

Eddie Bowman was born in Kells, Whitehaven, on 12 November 1944. He grew up in Mirehouse and attended Kells Secondary School. He played junior rugby league for Kells, and was offered a professional contract by Whitehaven after a successful trial.

## Playing career
### Club career

Bowman made his début for Whitehaven against Batley at Mount Pleasant, Batley, on Saturday 20 August 1966.
Bowman was transferred to Workington Town in 1970, and was a losing semi-finalist in the 1973, 1974 and 1975 Lancashire Cups. He won promotion with Workington Town in the 1975–76 Northern Rugby Football League season, and played in Workington Town's 16–11 defeat by Widnes in the 1976 Lancashire Cup Final during the 1976–77 season at Central Park, Wigan on Saturday 30 October 1976, the 16–13 victory over Wigan in the 1977 Lancashire Cup Final during the 1977–78 season at Wilderspool Stadium, Warrington on Saturday 29 October 1977, and the 15–13 defeat by Widnes in the 1978 Lancashire Cup Final during the 1978–79 season at Central Park, Wigan on Saturday 7 October 1978. He played his last game for Workington Town in the 5–13 defeat by Wakefield Trinity at Derwent Park, Workington on Sunday 22 October 1978.
In November 1978, Bowman was transferred to Leigh for a fee of £7,500. He made his début for Leigh in the 5–13 defeat by Wakefield Trinity at Hilton Park, Leigh on Sunday 10 December 1978, he played his last game for Leigh against New Zealand in 1980.
In November 1980, Bowman was signed by Wigan for a fee of £8,000. He made his début in the 15–2 victory over Fulham RLFC at Central Park, Wigan on Sunday 30 November 1980, he won promotion with Wigan in the 1980–81 Rugby Football League season, he played his last game for Wigan against York at Clarence Street, York on Sunday 8 November 1981.

### Representative honours

Bowman won caps for Cumberland while at Whitehaven against Lancashire at Derwent Park, Workington on Wednesday 24 September 1969, while at Workington Town he scored a try against Lancashire at Wilderspool Stadium, Warrington in 1972, a try against Yorkshire at Crown Flatt, Dewsbury in 1975, and a try against Other Nationalities at Craven Park, Barrow-in-Furness in 1975.
Bowman won caps for Great Britain while at Workington Town in the 1977 Rugby League World Cup against France, New Zealand, and Australia (2 matches).
# Peter Tredinnick

Peter Tredinnick (born 6 January 1960) is an Australian former soccer player who played as a left midfielder and left winger. He played in the National Soccer League (NSL) for over a decade and represented the Australia national team. His younger brother Howard also represented Australia.

## Early life

Tredinnick spent time as a child in Guyra where his father Alan was working as a teacher. He later moved to Newcastle where he attended Booragul High School, alongside future teammates Brett Cowburn and Craig Johnston.

## Club career

Tredinnick began playing soccer at Guyra. He later played at Lake Macquarie where he played with fellow Booragul High School scholar Craig Johnston. He played senior football for Lake Macquarie at the age of 15. Tredinnick represented Northern New South Wales Schoolboys in 1976 and 1977.
Tredinnick began his NSL career with Newcastle KB United in 1978. He played for several clubs throughout his career, including Wollongong Wolves, APIA Leichhardt, Marconi Fairfield, and Heidelberg United. Over 12 seasons, he made 272 league appearances and scored 21 goals.

## International career

Tredinnick represented Australia at both youth and senior levels. He earned three caps for the Socceroos in 1983, featuring in matches against China, Thailand, and Singapore in the Merlion Cup.

## Post-playing career

After retiring from professional soccer, Tredinnick pursued a career in law and became a partner at the national law firm Moray & Agnew. In October 2012, he was appointed as a director of Football Federation Australia (FFA). During his tenure, he served on the FFA Board’s Football Development Committee and the Board Nominations Committee. He stepped down from the FFA Board in August 2015 for personal reasons.
# Church of St Mary Magdalene, Melchbourne

Church of St Mary Magdalene is a Grade I listed church in Melchbourne, Bedfordshire, England. It became a listed building on 13 July 1964. The church is one of the Stodden Group of churches, which is a group of six parish churches also including All Hallows’ Church in Dean, St Mary's Church in Shelton, St Mary's Church in Yelden, St Nicholas' Church in Swineshead, and St Peter's Church in Pertenhall. The Stodden Group is part of the Sharnbrook Deanery within the Diocese of St Albans in the Church of England.
# 2022 Nueva Ecija local elections

Local elections took place in Nueva Ecija on Monday, May 9, 2022, as part of the 2022 Philippine general election. Held concurrently with the national elections, the electorate voted to elect a governor, a vice governor, fourteen provincial board members and four district representatives to congress. Those elected took their respective offices on June 30, 2022, for a three-year-long term. 1,297,243 voters voted in this election
Incumbent governor Aurelio Umali won reelection in a landslide victory against Palayan mayor Adrianne Mae Cuevas. Umali's brother, incumbent vice governor Emmanuel Umali also won reelection by a landslide against former vice governor Edward Joson and Victoria Capinpin. Umali and Joson also faced each other in the previous race for the vice governorship

## Electoral system

The governor and vice governor is elected via the plurality voting system province-wide.The members are elected via plurality-at-large voting: the province is divided into four districts, the first and fourth districts sending three members each, while the second and third districts sending two members each to the provincial board; the number of candidates the electorate votes for and the number of winning candidates depends on the number of members their district sends. The vice governor is the ex officio presiding officer, and only votes to break ties.

## Results
### Governor

Incumbent governor Aurelio Umali won reelection with 69.21% of the vote against Palayan mayor Adrianne Mae Cuevas 30.78%.
| Candidate | Candidate | Party | Votes | % |
| | Aurelio Umali | Unang Sigaw | 826,876 | 69.22 |
| | Adrianne Mae Cuevas | PDP–Laban | 367,716 | 30.78 |
| Total | Total | Total | 1,194,592 | 100.00 |
| | Unang Sigaw hold | Unang Sigaw hold | Unang Sigaw hold | Unang Sigaw hold |

### Vice Governor

Incumbent vice governor Emmanuel Umali won reelection with 68.56% of the vote against former vice governor Edward Joson's 30.45% and Victoria Capinpin's 0.98%.
| Candidate | Candidate | Party | Votes | % |
| | Emmanuel Umali | Unang Sigaw | 786,167 | 68.57 |
| | Edward Joson | PDP–Laban | 349,184 | 30.45 |
| | Victoria Capinpin | Independent | 11,240 | 0.98 |
| Total | Total | Total | 1,146,591 | 100.00 |
| | Unang Sigaw hold | Unang Sigaw hold | Unang Sigaw hold | Unang Sigaw hold |
# Liga V

Liga V is the fifth level of the Romanian football league system.

## Current format

Liga V has 42 divisions. The divisions are regionalised and are organised by every county association. Each team plays in their own county. The county associations decide how many teams play in the league and how many matches each side plays. In Romania the most frequently used system is one division with matches played home and away. A number of associations prefer 2 or even 3 parallel divisions. The number of teams differ from one county association to another.

## Promotion

The champions of each division are promoted to Liga IV.

## Series

Liga V is divided in 42 series, one for each county. All county leagues are organized individually by every County Football Association (AJF), but under the supervision of the Romanian Football Federation.
# Gilbert Choombe

Gilbert Choombe (born 7 March 1992 in Choma, Zambia) is a Zambian amateur boxer. He competed in the Men's light welterweight event at the 2012 Summer Olympics but lost to Jeff Horn in the first round.
He also competed at the 2010 Youth World Championships, 2011 All-Africa Games, and 2013 World Championships.
# Russell Dermond

Russell Charles "Chick" Dermond (December 31, 1936, in Fair Lawn, New Jersey – May 9, 2015) was an American sprint canoer who competed in the late 1950s and early 1960s. His early years were spent in the American Canoe Association as a flatwater racer and began in the wooden "peanut," which was the predecessor of modern kayaks and C boats. A many-time national champion, he competed in the 1956 and 1960 Olympics. At the 1956 Summer Olympics in Melbourne, he was eliminated in the heats of the K-2 1000 m event. Four years later in Rome, he was eliminated in the repechages of the K-1 4 × 500 m event. He attended as Team Manager in 1972 and later served on the U.S. Olympic Committee. He was very active in the ACA, serving in a number of governing positions including Sugar Island in the Thousand Islands and Lake Sebago in Harriman State Park.
Dermond was a resident of Westwood, New Jersey.
# Alberto Coelho (boxer)

Alberto Mendes Coelho (born 7 August 1961) is an Angolan boxer. He competed in the men's lightweight event at the 1980 Summer Olympics.
# Lutuma Diabateza

Lutuma Diabateza (born 9 November 1962) is a Congolese boxer. He competed in the men's flyweight event at the 1984 Summer Olympics.
# Kariyawasam

Kariyawasam is a surname. Notable people with the surname include:
* Akila Viraj Kariyawasam (born 1973), Sri Lankan politician
* Albert Kariyawasam (born 1921), Sri Lankan politician
* Gayathri Kariyawasam (born 1976), Sri Lankan cricketer
* Nimesh Kariyawasam (born 1994), Sri Lankan cricketer
* Nipuna Kariyawasam (born 1991), Sri Lankan cricketer
* Pradeep Kariyawasam (fl. 2009), Sri Lankan businessman
* Prasad Kariyawasam (born 1954), Sri Lankan diplomat
* Sagara Kariyawasam (born 1967), Sri Lankan lawyer and politician
* Sarala Kariyawasam (born 1996), Sri Lankan actress
# Joe Holup

Joseph J. Holup (February 26, 1934 – January 28, 1998) was an American basketball player. He played college basketball for George Washington University and later professionally in the National Basketball Association and the Eastern Professional Basketball League.

## College career

A 6'6' forward, Holup starred at George Washington University from 1953 to 1956. He tallied 2,226 points and 2,030 rebounds in 104 varsity games, and led the NCAA in rebounds per game (25.6) during the 1955–56 season. Holup held George Washington's record for most career points until 2003, when he was surpassed by Chris Monroe. He ranks second among NCAA Division I rebounding leaders with his 2,030 career rebounds.

## Professional career

After college, Holup was selected with the fifth overall pick of the 1956 NBA draft by the Syracuse Nationals. He played three seasons in the NBA with the Nationals and Detroit Pistons, averaging 7.0 points per game and 4.4 rebounds per game. He later played several seasons in the Eastern Professional Basketball League. He spent the 1959–1960 season with the Williamssport Billies where he averaged 12.4 points and 6.9 rebounds. He was named the Billies acting head coach for the remainder of the season in February 1960 after head coach Bobby Sand was injured in an automobile accident. He started the following season with the Baltimore Bullets before being obtain by the Wilkes-Barre Barons in a cash deal in January 1961.

## Death

Holup died in Rexford, New York in 1998.

## Career statistics
### NBA

Source

#### Regular season

| Year | Team | GP | MPG | FG% | FT% | RPG | APG | PPG |
| 1956–57 | Syracuse | 71 | 18.1 | .329 | .806 | 3.9 | 1.2 | 7.4 |
| 1957–58 | Syracuse | 16 | 8.3 | .246 | .696 | 1.4 | .8 | 2.8 |
| 1957–58 | Detroit | 37 | 16.4 | .348 | .775 | 5.4 | .6 | 5.6 |
| 1958–59 | Detroit | 68 | 22.1 | .360 | .760 | 5.2 | 1.1 | 8.4 |
| Career | Career | 192 | 18.4 | .342 | .781 | 4.4 | 1.0 | 7.0 |

#### Playoffs

| Year | Team | GP | MPG | FG% | FT% | RPG | APG | PPG |
| 1957 | Syracuse | 5 | 17.6 | .214 | .667 | 4.0 | .2 | 4.0 |
| 1958 | Detroit | 7 | 19.1 | .349 | .750 | 5.1 | .4 | 6.0 |
| 1959 | Detroit | 3 | 12.0 | .214 | .857 | 2.7 | 1.0 | 4.0 |
| Career | Career | 15 | 17.2 | .282 | .743 | 4.3 | .5 | 4.9 |
# State Bank of Stratford

The State Bank of Stratford is a historic building located in Stratford, Iowa, United States. The bank opened for business in 1891, eight years after the town was incorporated. Its early success reflected the prosperity in rural Iowa at the time. The bank occupied this corner since 1910, and this building was completed in 1918. The older building was relocated to the west, and it is still extant. It survived the agricultural economic downturn of the 1920s, but it could not survive the Great Depression. The bank building was purchased in 1936 by the Farmer's Savings Bank, which operated in this building until a new bank building was built across the street to the south. The Georgian Revival elements of the building include the pedimented entrance portico, elliptical arched windows, the brick quoining on the corners, and the dentilated cornice. The building was listed on the National Register of Historic Places in 1983.
# State Highway 274 Bridge

The bridge that carries Arkansas Highway 274 across Little Cypress Creek (about 0.25 miles (0.40 km) from its junction with Highway 203), near Thornton, Arkansas in Calhoun County, was listed on the National Register of Historic Places in 1995. The wooden trestle bridge was built in 1940, and is 105 feet (32 m) long and has a total width of 31 feet (9.4 m), with a deck 28.4 feet (8.7 m) wide. It is divided into seven spans, the longest of which is 15 feet (4.6 m). Its abutments and piers are all of wood, and the bridge deck is wood covered with asphalt.
# Snake Deal

John Wesley "Snake" Deal (January 21, 1879 – May 9, 1944) was a Major League Baseball first baseman. He played half of one season for the Cincinnati Reds in 1906.
He also played professional basketball in the National Basketball League. He is the earliest recorded player to make use of the jump shot.
# State Savings Bank (Quasqueton, Iowa)

State Savings Bank is a historic building located in Quasqueton, Iowa, United States. It was originally built as a three-story warehouse and commercial sales building in 1852. In 1902 it was significantly altered. The building was reduced to two stories, and it was given a completely new facade in the Romanesque Revival style. Since that time it has housed a bank and a series of retail stores. The building thought to be unique in Buchanan County in that its facade is completely composed of brick, while other Romanesque Revival commercial buildings have store fronts of cast iron, wood, and glass. It was listed on the National Register of Historic Places in 1999.
# State Street AME Zion Church

State Street African Methodist Episcopal Zion Church is a historic African American church in Mobile, Alabama. It is the oldest documented Methodist church building in Alabama. It is also one of two African American churches founded in the Methodist tradition in Mobile prior to the American Civil War.

## History

The church was founded in 1829 as the African Church of the City of Mobile, a mission of the Methodist Episcopal Church South. The original building burned and the current building was erected in 1854. By 1855 the church had a congregation of 550 members, making it one of the most successful African American churches in Alabama. Following the Civil War, the congregation joined the African Methodist Episcopal Zion Church. The Methodist Episcopal Church South then challenged the right of the congregation to occupy the building. Under the leadership of their second minister, Wilbur G. Strong, the congregation obtained legal title to the building in 1872. It was added to the National Register of Historic Places on September 6, 1978, due to its architectural and historic significance.
# Anita Kulik

Anita Astorino Kulik (born May 5, 1964) is an American politician who has served in the Pennsylvania House of Representatives from the 45th district since 2017.

## Formative years

Born in Pittsburgh, Pennsylvania on May 5, 1964, Kulik graduated from Bishop Canevin High School in 1982, earned her Bachelor of Arts degree in history from Duquesne University in 1986, and then earned her Juris Doctor from Duquesne in 1989.

## Legal and public service career

During the early years of her legal career, she worked as a law clerk for the Pennsylvania Court of Common Pleas in Allegheny County and then as a law clerk for the Superior Court of Pennsylvania. A practicing attorney for roughly fifteen years, she represented victims of domestic violence and other clients involved in seeking protection from abuse.
She was also employed as a law instructor.
Subsequently elected as a commissioner in Kennedy Township, Allegheny County she served in that public service capacity from 2003 to 2016. She was then hired as a legislative assistant to Pennsylvania State Representative Nicholas Kotik, and subsequently succeeded him when she was elected as a Democrat to the Pennsylvania House of Representatives for the 2017 term. She has since been reelected to the House to serve three additional consecutive terms.
In February 2017, she was part of a group of educators and legislators from Pennsylvania that traveled to the Caribbean region to explore ways to improve relations between Havana, Cuba and the Commonwealth of Pennsylvania and between Cuba and the United States. In July of that same year, she authored House Bill 1652 to include pet care arrangements as part of areas for judicial consideration during divorce proceedings, explaining, "This bill would ease one facet of the difficult divorce process by giving judges the ability to recognize the emotional attachment [litigants] have to our pets, as well as the well-being of a companion animal when determining its custody and care."
In May 2019, Kulik reintroduced legislation requiring that the well-being of pets be addressed as part of divorce settlement negotiations whenever the litigants involved are pet owners. Introduced as House Bill 1432, it proposed that judges be required to address six conditions when designating a litigant as the most appropriate guardian of the animal:
* When the pet was acquired (before or during the marriage);
* What the pet's daily needs are;
* Which of the litigants has traditionally been responsible for the pet's veterinary care;
* Which of the litigants has traditionally provided the animal with most of its socialization; and
* Which of the litigants bought and maintained the dog's license and typically manages other local and state regulatory compliance issues.

## Committee assignments

* Game & Fisheries
* Liquor Control
* Professional Licensure
* Veterans Affairs & Emergency Preparedness
# Mohamed Haioun

Mohamed Haioun (born 27 March 1969) is an Algerian boxer. He competed in the men's light flyweight event at the 1992 Summer Olympics.
# Station 13 Minneapolis Fire Department

Station 13 of the Minneapolis Fire Department is a fire station in the Ericsson neighborhood of Minneapolis, Minnesota. The station, at 4201 Cedar Ave. S., was built in 1923 during a period when the city was growing rapidly. Between 1919 and 1922, nearly 5,000 new homes had been built in Minneapolis, and city planners of that era were concerned about fire protection for buildings located near the city limits. That era saw other construction projects such as Roosevelt High School, built in 1922; Standish Elementary School, built in 1920; and Roosevelt Community Library, built in 1925.
The city wanted the station to blend into its surrounding residential area, so the building was designed in the American Craftsman bungalow style. It had a low, horizontal roof and a front yard, which distinguished it from other fire stations that typically had two stories and prominent entries. It served as a fire station until 1979, when the Minneapolis Fire Department initiated a remodeling and expansion program. It later held an emergency medical technician unit before being converted to offices. It was listed on the National Register of Historic Places in 2003.
# Draftnik

A draftnik is a person who studies professional sports leagues drafts and covers the draft in the media. The term is most often used in reference to the NFL Draft and was coined in the mid-1980s after the draft was first televised by ESPN.
The first draftniks are typically considered to be Joel Buchsbaum and Mel Kiper Jr.
Nowadays, there are a large number of draftniks which post their own mock drafts on websites, and some have even made a living out of it.
In 2002, TheHuddleReport.com began grading the efforts of draftniks and tracking the success of their mock draft. The Huddle Report awards 2 points for correctly predicting a team's draft pick, and 1 point for each player correctly placed in the 1st round.