Generation of finite classical groups by pairs of elements with large fixed point spaces.

DOI10.1016/j.jalgebra.2014.08.020zbMath1308.20045arXiv1403.2057OpenAlexW2963181158WikidataQ56987438 ScholiaQ56987438MaRDI QIDQ468691

Şükrü Yalçınkaya, Cheryl E. Praeger, Seress, Ákos

Publication date: 7 November 2014

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

Full work available at URL: https://arxiv.org/abs/1403.2057

zbMATH Keywords

random elementsfinite classical groupsproportions of elementsgroup recognition algorithms

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Probabilistic methods in group theory (20P05)

Related Items (4)

Random generation of direct sums of finite non-degenerate subspaces ⋮ Locally elusive classical groups ⋮ The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions ⋮ Effective black-box constructive recognition of classical groups.

Uses Software

• GAP
• recog

Cites Work

• Unnamed Item
• Growth of cross-characteristic representations of finite quasisimple groups of Lie type.
• On the maximal subgroups of the finite classical groups
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Constructive recognition of classical groups in even characteristic.
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Probabilistic generation of finite classical groups in odd characteristic by involutions
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• Cyclic Matrices Over Finite Fields
• Elements in finite classical groups whose powers have large 1-Eigenspaces
• Endliche Gruppen I

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