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Type: Artigo
Title: Weak commutativity and finiteness properties of groups
Author: Bridson, Martin R.
Kochloukova, Dessislava H.
Abstract: We consider the group X(G) obtained from G*G by forcing each element g in the first free factor to commute with the copy of g in the second free factor. Deceptively complicated finitely presented groups arise from this construction: X(G) is finitely presented if and only if G is finitely presented, but if F is a non-abelian free group of finite rank then X(F) has a subgroup of finite index whose third homology is not finitely generated
Subject: Comutatividade fraca
Grupos finitos
Country: Reino Unido
Editor: Wiley
Rights: Fechado
Identifier DOI: 10.1112/blms.12219
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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