Products of conjugacy classes in finite and algebraic simple groups.

DOI10.1016/j.aim.2012.11.005zbMath1277.20029arXiv1202.2627OpenAlexW2037767841MaRDI QIDQ1935197

Gunter Malle, Pham Hũ'u Tiêp, Robert M. Guralnick

Publication date: 11 February 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2627

zbMATH Keywords

finite simple groupsirreducible complex characterssimple algebraic groupsproducts of conjugacy classesBaer-Suzuki theoremproducts of centralizersSzep conjecture

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups (20E32) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (13)

Products of conjugacy classes in simple algebraic groups in terms of diagrams ⋮ Surjective word maps and Burnside's \(p^aq^b\) theorem ⋮ On products of conjugacy classes in general linear groups ⋮ On the class of KN-complete groups ⋮ Topological generation of exceptional algebraic groups ⋮ Elementary covering numbers in odd-dimensional unitary groups ⋮ The power graph on the conjugacy classes of a finite group ⋮ Some problems about products of conjugacy classes in finite groups ⋮ Squaring a conjugacy class and cosets of normal subgroups ⋮ Products and commutators of classes in algebraic groups. ⋮ A note on the product of conjugacy classes of a finite group ⋮ Variations on the Baer-Suzuki theorem. ⋮ Powers of irreducible characters and conjugacy classes in finite groups

Uses Software

• CHEVIE

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