The number of regular semisimple conjugacy classes in the finite classical groups

2012/09/15 by Jason Fulman, Robert Guralnick, Fulman, Jason +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #math.CO #math.GR

paper · pdf · doi:10.48550/arxiv.1209.3345

19 pages

arxiv created 2012/09/15 · arxiv updated 2012/09/18

Abstract

Using generating functions, we enumerate regular semisimple conjugacy classes in the finite classical groups. For the general linear, unitary, and symplectic groups this gives a different approach to known results; for the special orthogonal groups the results are new.

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