Probabilistic Waring problems for finite simple groups

DOI10.4007/annals.2019.190.2.3zbMath1448.20063arXiv1808.05116OpenAlexW2969333175WikidataQ101542321 ScholiaQ101542321MaRDI QIDQ2273999

Pham Hũ'u Tiêp, Michael J. Larsen, Aner Shalev

Publication date: 19 September 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05116

zbMATH Keywords

random walkssimple groupsone-relator groupsword mapsuniform distributionsflat morphismsWaring problems

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33) Probabilistic methods in group theory (20P05)

Related Items (9)

Covering and growth for group subsets and representations ⋮ Character estimates for finite simple groups and applications ⋮ Products of normal subsets ⋮ Character levels and character bounds for finite classical groups ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Most words are geometrically almost uniform ⋮ Words, permutations, and the nonsolvable length of a finite group ⋮ On surjectivity of word maps on \(\mathrm{PSL}_2\) ⋮ CHARACTER LEVELS AND CHARACTER BOUNDS

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