Outer commutator words are uniformly concise

DOI10.1112/jlms/jdq047zbMath1227.20032arXiv0911.3048OpenAlexW3100851290MaRDI QIDQ3066395

Gustavo A. Fernández-Alcober, Marta Morigi

Publication date: 10 January 2011

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3048

zbMATH Keywords

commutatorsultraproductsverbal subgroupsouter commutator wordsgroup words

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Ultraproducts and related constructions (03C20)

Related Items (26)

A Note on Conciseness of Engel Words ⋮ ON THE RANK OF A VERBAL SUBGROUP OF A FINITE GROUP ⋮ On profinite groups with commutators covered by countably many cosets ⋮ Average dimension of fixed point spaces with applications. ⋮ On words that are concise in residually finite groups. ⋮ ON GROUPS WITH FINITE CONJUGACY CLASSES IN A VERBAL SUBGROUP ⋮ Commutators, centralizers, and strong conciseness in profinite groups ⋮ On conciseness of the word in Olshanskii's example ⋮ On bounded conciseness of words in residually finite groups ⋮ Bounding the order of a verbal subgroup in a residually finite group ⋮ On conciseness of some commutator words ⋮ Unnamed Item ⋮ BFC-theorems for higher commutator subgroups ⋮ CONCISENESS OF COPRIME COMMUTATORS IN FINITE GROUPS ⋮ On bounded conciseness of Engel-like words in residually finite groups ⋮ On finiteness of some verbal subgroups in profinite groups ⋮ Positive laws on word values in residually-\(p\) groups. ⋮ Engel groups in bath - ten years later ⋮ Words of Engel type are concise in residually finite groups. II. ⋮ Profinite groups with restricted centralizers of commutators ⋮ On finiteness of verbal subgroups ⋮ On semiconcise words ⋮ Words of Engel type are concise in residually finite groups ⋮ On finite groups in which commutators are covered by Engel subgroups ⋮ On rational and concise words. ⋮ On conciseness of words in profinite groups.

This page was built for publication: Outer commutator words are uniformly concise