English

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

Group Theory 2012-09-18 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.1209.3345,
  title  = {The number of regular semisimple conjugacy classes in the finite classical groups},
  author = {Jason Fulman and Robert Guralnick},
  journal= {arXiv preprint arXiv:1209.3345},
  year   = {2012}
}

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19 pages