Richard Lyons (mathematician)
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Richard Neil Lyons (born January 22, 1945 in
New York City New York, often called New York City or NYC, is the most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the most densely populated major city in the U ...
,
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) is an American mathematician, specializing in finite group theory. Lyons received his PhD in 1970 at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of Chic ...
under John Griggs Thompson with a thesis entitled ''Characterizations of Some Finite Simple Groups with Small 2-Rank''. From 1972 to 2017, he was a professor at
Rutgers University Rutgers University (; RU), officially Rutgers, The State University of New Jersey, is a public land-grant research university consisting of four campuses in New Jersey. Chartered in 1766, Rutgers was originally called Queen's College, and wa ...
. With Daniel Gorenstein and Ronald Solomon he wrote, and is continuing to write, a series on the classification program for finite simple groups, a program in which the three of them were major participants. Nine volumes of this series have been published so far. He discovered a
sporadic group In mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups. A simple group is a group ''G'' that does not have any normal subgroups except for the trivial group and ''G'' itself. The ...
which
Charles Sims Charles Sims may refer to: * Charles Sims (painter) (1873–1928), British painter * Charles Sims (mathematician) (1938–2017), American mathematician * Charles Sims (aviator) (1899–1929), British World War I flying ace * Charles Sims (America ...
constructed and called the Lyons group ''Ly''. In 2012, he shared the Leroy P. Steele Prize for Mathematical Exposition, awarded by the American Mathematical Society, with Michael Aschbacher, Stephen D. Smith, and Ronald Solomon. In 2013, he became a
fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...
of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings ...
"for contributions to the classification of the finite simple groups, including the discovery of one of the 26 sporadic finite simple groups.".List of Fellows of the American Mathematical Society
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Works

* with Gorenstein: ''The local structure of finite groups of characteristic 2 type'', American Mathematical Society, 1983 * with Daniel Gorenstein, Ronald Solomon: ''The classification of the finite simple groups'', American Mathematical Society, 9 Vols., 1994–2021 * with Michael Aschbacher, Stephen D. Smith, Ronald Solomon: ''The classification of finite simple groups: Groups of characteristic 2 type'', American Mathematical Society, 2011


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{{DEFAULTSORT:Lyons, Richard 20th-century American mathematicians 21st-century American mathematicians 1945 births Group theorists University of Chicago alumni Rutgers University faculty Living people Fellows of the American Mathematical Society