Words, Hausdorff dimension and randomly free groups

DOI10.1007/s00208-017-1635-yzbMath1498.20074arXiv1706.08226OpenAlexW2962818769MaRDI QIDQ1659924

Aner Shalev, Michael J. Larsen

Publication date: 23 August 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08226

zbMATH Keywords

finite groupsresidually finite groupssize of fibers of word maps

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Residual properties and generalizations; residually finite groups (20E26) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Related Items (7)

Gaps in probabilities of satisfying some commutator-like identities ⋮ Word maps with constants on symmetric groups ⋮ Words, permutations, and the nonsolvable length of a finite group ⋮ Unnamed Item ⋮ Word images in symmetric and classical groups of Lie type are dense ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Probabilistically nilpotent groups

Cites Work

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