Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution.

DOI10.1016/j.jalgebra.2003.07.004zbMath1065.20065arXivmath/0304047OpenAlexW2077496538MaRDI QIDQ1881125

Jason Fulman, Robert M. Guralnick

Publication date: 4 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304047

zbMATH Keywords

numbers of conjugacy classesasymptoticsrandom matricesrepresentationsbilinear formssymmetric functionsrandom elementsfinite symplectic groupsrandom partitionsHall-Littlewood polynomialsderangementscycle index generating functionstranspose-inverse automorphisms

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Asymptotic enumeration (05A16) Representations of finite groups of Lie type (20C33) Probabilistic methods in group theory (20P05)

Related Items (16)

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