Powers in finite groups.

DOI10.4171/GGD/136zbMath1243.20036arXiv0909.4639OpenAlexW2964091006MaRDI QIDQ664242

Nikolay Nikolov, Daniel Segal

Publication date: 29 February 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4639

zbMATH Keywords

finite groupsfinitely generated profinite groupspower subgroupsproducts of powersverbal widths

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05) Quasivarieties and varieties of groups (20E10) Limits, profinite groups (20E18)

Related Items

Word equations in simple groups and polynomial equations in simple algebras., Remarks on profinite groups having few open subgroups, Bounding the order of a verbal subgroup in a residually finite group, Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics., Verbal width in anabelian groups, On bounded conciseness of Engel-like words in residually finite groups, Generators and commutators in finite groups; abstract quotients of compact groups., Bounded Engel elements in residually finite groups, Finite rank and pseudofinite groups, On finiteness of verbal subgroups

Cites Work

• Products of powers in finite simple groups
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• On the verbal width of finitely generated pro-\(p\) groups.
• Closed Subgroups of Profinite Groups
• Zu einem von B. H. und H. Neumann gestellten Problem
• A note on powers in simple groups
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