Fibers of automorphic word maps and an application to composition factors

DOI10.1515/JGTH-2017-0024zbMath1401.20021arXiv1608.00131OpenAlexW2963427991MaRDI QIDQ1676215

Alexander Bors

Publication date: 6 November 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00131

zbMATH Keywords

finite simple groupsfiberword maps

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Finite simple groups and their classification (20D05) Algebraic geometry over groups; equations over groups (20F70)

Related Items (6)

Words, Hausdorff dimension and randomly free groups ⋮ Fibers of word maps and the multiplicities of non-abelian composition factors ⋮ Characteristic covering numbers of finite simple groups ⋮ Groups satisfying identities with high probability ⋮ Words, permutations, and the nonsolvable length of a finite group ⋮ Probabilistically nilpotent groups

Cites Work

• Unnamed Item
• Fibers of word maps and some applications.
• Some Results and Problems in the Theory of Word Maps

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