Regular semisimple elements and involutions in finite general linear groups of odd characteristic

DOI10.1090/S0002-9939-2012-11491-1zbMath1282.20056OpenAlexW1995910585WikidataQ56987611 ScholiaQ56987611MaRDI QIDQ2845724

Cheryl E. Praeger, Seress, Ákos

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11491-1

zbMATH Keywords

general linear groupscentralizers of involutionsprobabilitiesregular semisimple elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Asymptotic properties of groups (20F69) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Related Items (2)

Strong involutions in finite special linear groups of odd characteristic ⋮ Involution centralisers in finite unitary groups of odd characteristic

Cites Work

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• Recognising simplicity of black-box groups by constructing involutions and their centralisers.
• Constructive recognition of classical groups in odd characteristic.
• Finding involutions in finite Lie type groups of odd characteristic.
• An improved method for generating the centralizer of an involution
• Probabilistic generation of finite classical groups in odd characteristic by involutions
• Constructive membership in black-box groups
• Cyclic Matrices Over Finite Fields
• Finding the characteristic of a group of Lie type
• A generating function approach to the enumeration of matrices in classical groups over finite fields
• Endliche Gruppen I

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