Weak commutativity and finiteness properties of groups
Martin R. Bridson, Dessislava H. Kochloukova
ARTIGO
Inglês
Agradecimentos: The first author was supported in part by a Wolfson Research Merit Award from the Royal Society. The second author was supported in part by regular grant 2016/05678‐3 from FAPESP and ‘bolsa de produtividade em pesquisa’ 303350/2013‐0 CNPq, Brazil
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,...
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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
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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ
303350/2013-0
FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
2016/05678-3
Fechado
Weak commutativity and finiteness properties of groups
Martin R. Bridson, Dessislava H. Kochloukova
Weak commutativity and finiteness properties of groups
Martin R. Bridson, Dessislava H. Kochloukova
Fontes
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Bulletin of the London Mathematical Society (Fonte avulsa) |