ON THE NUMBER OF REAL CLASSES IN THE FINITE PROJECTIVE LINEAR AND UNITARY GROUPS

DOI10.1017/S0017089518000551zbMath1444.20031arXiv1808.02058OpenAlexW2951958077MaRDI QIDQ5203857

Elena Amparo, C. Ryan Vinroot

Publication date: 9 December 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02058

zbMATH Keywords

general linear groupconjugacy classspecial linear groupprojective linear groupreal conjugacy class

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• The number of equivalence classes of nondegenerate bilinear and sesquilinear forms over a finite field
• Characters, classes, and duality in isogenous groups
• Strongly real classes in finite unitary groups of odd characteristic.
• Real and strongly real classes in SL n (q)
• Real and strongly real classes in PGL n (q) and quasi-simple covers of PSL n (q)
• Numbers of conjugacy classes in some finite classical groups
• A generating function approach to the enumeration of matrices in classical groups over finite fields

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