Proportions of r -regular elements in finite classical groups

DOI10.1112/jlms/jdt011zbMath1281.20058arXiv1205.1327OpenAlexW2165801776WikidataQ56987507 ScholiaQ56987507MaRDI QIDQ2843988

Robert A. Wilson, Cheryl E. Praeger, László Babai, Simon D. Guest

Publication date: 27 August 2013

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

Full work available at URL: https://arxiv.org/abs/1205.1327

zbMATH Keywords

numbers of elements\(p\)-regular elementsfinite classical groupsorders of elementselement proportions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Probabilistic methods in group theory (20P05)

Related Items (6)

Variations of Landau's theorem for \(p\)-regular and \(p\)-singular conjugacy classes. ⋮ \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters ⋮ Abundant \(p\)-singular elements in finite classical groups. ⋮ Convergence criteria for \(\text{FI}_{\mathcal{W}}\)-algebras and polynomial statistics on maximal tori in type B/C ⋮ Involution centralisers in finite unitary groups of odd characteristic ⋮ Permutations with orders coprime to a given integer

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