Fibers of word maps and some applications.

DOI10.1016/j.jalgebra.2011.10.040zbMath1258.20011arXiv1308.1286OpenAlexW2028983039MaRDI QIDQ448392

Aner Shalev, Michael J. Larsen

Publication date: 6 September 2012

Published in: Journal of Algebra, Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1286

zbMATH Keywords

numbers of conjugacy classesfinite simple groupsirreducible complex characterssubgroup growthsimple algebraic groupsword mapscommutator wordsuniform probability distributionalmost uniform words

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

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