Richard Lyons (mathematician)

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Richard Neil Lyons (born January 22, 1945 in New York ) is an American mathematician who works with finite groups.

Lyons attended Harvard University and received his PhD from the University of Chicago in 1970 with John Griggs Thompson ( Characterizations of Some Finite Simple Groups with Small 2-Rank ). Other of his teachers in Chicago were Jon Alperin , Richard Brauer , Marty Isaacs , Leonard Scott and George Glauberman . He was also briefly at Cambridge University during his graduate studies . As a post-graduate student , he was a Gibbs instructor at Yale University . He has been a professor at Rutgers University since the late 1970s . He is a fellow of the American Mathematical Society .

With Daniel Gorenstein and Ronald Solomon , he wrote a multi-volume series on the classification program of finite simple groups in which he was involved (GLS project, laid out in 12 volumes, volume 8 will appear in 2018). He discovered a sporadic simple group named after him and constructed by Charles Sims .

Fonts

  • 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, 6 volumes, 1994 to 2005
  • with Solomon, Michael Aschbacher , Stephen D. Smith Classification of finite simple groups: groups of characteristic 2-type , Surveys and Monographs of the AMS, Volume 172, 2011 (the book won the Leroy P. Steele Prize 2012)

Web links

Individual evidence

  1. after Ronan's website on mathematicians researching finite groups
  2. Richard Lyons in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. Ronald Solomon: The Classification of finite simple groups: A progress report , Notices AMS, June / July 2018, online
  4. Richard Lyons: Evidence for a new finite simple group , Journal of Algebra Vol. 20, 1972, pp. 540-569, Vol. 34, 1975, pp. 188-189