Finding involutions in finite Lie type groups of odd characteristic.

DOI10.1016/j.jalgebra.2008.05.009zbMath1183.20014OpenAlexW2012237610WikidataQ56987700 ScholiaQ56987700MaRDI QIDQ834838

Frank Lübeck, Alice C. Niemeyer, Cheryl E. Praeger

Publication date: 27 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.05.009

zbMATH Keywords

finite groups of Lie typeconjugacy classes of involutionsproportions of involutions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Related Items (17)

Proportions of elements with given 2-part order in finite classical groups of odd characteristic. ⋮ FINDING INVOLUTIONS WITH SMALL SUPPORT ⋮ Recognising simplicity of black-box groups by constructing involutions and their centralisers. ⋮ On proportions of pre-involutions in finite classical groups. ⋮ Radical 3-subgroups of \(F_4(q)\) with \(q\) even. ⋮ Abundant \(p\)-singular elements in finite classical groups. ⋮ Strong involutions in finite special linear groups of odd characteristic ⋮ Constructive recognition of classical groups in even characteristic. ⋮ A semi-recursion for the number of involutions in special orthogonal groups over finite fields ⋮ Effective black-box constructive recognition of classical groups. ⋮ Convergence criteria for \(\text{FI}_{\mathcal{W}}\)-algebras and polynomial statistics on maximal tori in type B/C ⋮ Estimating proportions of elements in finite groups of Lie type. ⋮ Involution centralisers in finite unitary groups of odd characteristic ⋮ Constructive recognition of classical groups in odd characteristic. ⋮ Generalised shuffle groups ⋮ Regular semisimple elements and involutions in finite general linear groups of odd characteristic ⋮ Imprimitive irreducible modules for finite quasisimple groups

Uses Software

• CHEVIE

Cites Work

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