BFC-theorems for higher commutator subgroups

DOI10.1093/qmath/hay068zbMath1454.20070arXiv1803.04202OpenAlexW2962780319MaRDI QIDQ5147012

Eloisa Detomi, Marta Morigi, P. V. Shumyatskij

Publication date: 2 February 2021

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04202

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Commutator calculus (20F12)

Related Items (10)

On the commuting probability for subgroups of a finite group ⋮ Boundedly finite conjugacy classes of tensors ⋮ Advances on a construction related to the non-abelian tensor square of a group ⋮ Finite-by-nilpotent groups and a variation of the BFC-theorem ⋮ Compact groups with probabilistically central monothetic subgroups ⋮ Probabilistically nilpotent groups of class two ⋮ Unnamed Item ⋮ ON FINITE-BY-NILPOTENT GROUPS ⋮ A stronger form of Neumann's BFC-theorem ⋮ Centralizers of commutators in finite groups

Cites Work

• On countable coverings of word values in profinite groups.
• Average dimension of fixed point spaces with applications.
• On profinite groups with word values covered by nilpotent subgroups
• Outer commutator words are uniformly concise
• Probabilistically nilpotent groups
• Groups with boundedly finite classes of conjugate elements
• An Essay on BFC Groups
• Groups with boundedly finite conjugacy classes of commutators
• On groups with bounded conjugacy classes
• Groups Covered By Permutable Subsets

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