On groups with BFC-covered word values
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Publication:6612165
DOI10.1016/J.JALGEBRA.2024.06.031MaRDI QIDQ6612165
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
Publication date: 30 September 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Conjugacy classes for groups (20E45) Generalizations of solvable and nilpotent groups (20F19) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) FC-groups and their generalizations (20F24)
Cites Work
- Some sufficient conditions for a group to be nilpotent
- On profinite groups with word values covered by nilpotent subgroups
- Finite-by-nilpotent groups and a variation of the BFC-theorem
- Outer commutator words are uniformly concise
- Two Combinatorial Problems in Group Theory
- Generalizing a theorem of P. Hall on finite-by-nilpotent groups
- Groups with boundedly finite conjugacy classes of commutators
- On the commuting probability for subgroups of a finite group
- BFC-theorems for higher commutator subgroups
- Large characteristic subgroups satisfying multilinear commutator identities
- Groups Covered By Permutable Subsets
- The classification of the finite simple groups
- Probabilistically nilpotent groups of class two
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