Real and strongly real classes in finite linear groups

Nick Gill; Anupam Singh

Real and strongly real classes in finite linear groups

Group Theory 2009-11-03 v2

Authors: Nick Gill , Anupam Singh

Abstract

We classify the real and strongly real conjugacy classes in $GL_n(q)$ , $SL_n(q)$ , $PGL_n(q)$ , $PSL_n(q)$ , and all quasi-simple covers of $PSL_n(q)$ . In each case we give a formula for the number of real, and the number of strongly real, conjugacy classes.

Keywords

conjugacy classes in groups

Cite

@article{arxiv.0809.4412,
  title  = {Real and strongly real classes in finite linear groups},
  author = {Nick Gill and Anupam Singh},
  journal= {arXiv preprint arXiv:0809.4412},
  year   = {2009}
}

Comments

46 pages. Minor errors have been corrected in this version. This version also contains a treatment of exceptional covers of $PSL_n(q)$; this treatment had been erroneously omitted in version 1

Real and strongly real classes in finite linear groups

Abstract

Keywords

Cite

Comments

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