Strong involutions in finite special linear groups of odd characteristic

DOI10.1016/j.jalgebra.2017.11.047zbMath1437.20041OpenAlexW2772298734WikidataQ56987299 ScholiaQ56987299MaRDI QIDQ1694594

Cheryl E. Praeger, John D. Dixon, Seress, Ákos

Publication date: 6 February 2018

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

Full work available at URL: https://research-repository.uwa.edu.au/en/publications/354d108c-de60-4f16-97c6-689b3b3cea4c

zbMATH Keywords

Bray's algorithmprimitive prime divisorstrong involution

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Asymptotic properties of groups (20F69) Probabilistic methods in group theory (20P05)

Related Items (2)

Involution centralisers in finite unitary groups of odd characteristic ⋮ A note on involution centralizers in black box groups

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
• Regular semisimple elements and involutions in finite general linear groups of odd characteristic
• Probabilistic generation of finite classical groups in odd characteristic by involutions
• Constructive membership in black-box groups
• Cycle indices for the finite classical groups
• A Recognition Algorithm For Classical Groups Over Finite Fields
• Linear Groups with Orders Having Certain Large Prime Divisors
• Counting cyclic and separable matrices over a finite field
• A generating function approach to the enumeration of matrices in classical groups over finite fields

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