Verbal width in anabelian groups

DOI10.1007/s11856-016-1430-6zbMath1398.20040arXiv1401.3552OpenAlexW2962976924MaRDI QIDQ503273

Nikolay Nikolov

Publication date: 11 January 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3552

zbMATH Keywords

wordscommutatorabelian composition factorsanabelian groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items

Words, Hausdorff dimension and randomly free groups, Remarks on profinite groups having few open subgroups, Gaps in probabilities of satisfying some commutator-like identities, Fibers of word maps and the multiplicities of non-abelian composition factors, Words, permutations, and the nonsolvable length of a finite group, Finite groups with an automorphism that is a complete mapping, Erratum: Fibers of word maps and the multiplicities of non-abelian composition factors

Cites Work

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• The Waring problem for finite simple groups.
• Powers in finite groups.
• Products of powers in finite simple groups
• Generators and commutators in finite groups; abstract quotients of compact groups.
• Products of conjugacy classes in Chevalley groups. I: Extended covering numbers
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Word maps, conjugacy classes, and a noncommutative Waring-type theorem.
• The Ore conjecture.
• On the minimal degrees of projective representations of the finite Chevalley groups
• A product decomposition for the classical quasisimple groups
• A note on powers in simple groups
• Some Results and Problems in the Theory of Word Maps