Abundant \(p\)-singular elements in finite classical groups.

DOI10.1016/j.jalgebra.2013.09.021zbMath1309.20042arXiv1205.1454OpenAlexW2036784177WikidataQ56987460 ScholiaQ56987460MaRDI QIDQ402707

Tomasz Popiel, Alice C. Niemeyer, Cheryl E. Praeger

Publication date: 28 August 2014

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

Full work available at URL: https://arxiv.org/abs/1205.1454

zbMATH Keywords

algorithmsfinite groups of Lie typerandom elementsfinite linear groups\(p\)-singular elements\(p\)-abundant elementsproportions of elements

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Software, source code, etc. for problems pertaining to group theory (20-04) Probabilistic methods in group theory (20P05)

Related Items (3)

Orbits of Sylow subgroups of finite permutation groups ⋮ Convergence criteria for \(\text{FI}_{\mathcal{W}}\)-algebras and polynomial statistics on maximal tori in type B/C ⋮ Generalised shuffle groups

Cites Work

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• ALGORITHMS TO IDENTIFY ABUNDANTp-SINGULAR ELEMENTS IN FINITE CLASSICAL GROUPS
• A Recognition Algorithm for Special Linear Groups
• A Recognition Algorithm For Classical Groups Over Finite Fields

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