Weak commutativity and finiteness properties of groups

Author: 

Bridson, M
Kochloukova, D

Publication Date: 

February 2019

Journal: 

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

Last Updated: 

2019-07-14T00:33:08.05+01:00

Issue: 

1

Volume: 

51

DOI: 

10.1112/blms.12219

page: 

168-180

abstract: 

© 2018 London Mathematical Society We consider the group X obtained from X(G) by forcing each element G*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: 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.

Symplectic id: 

702608

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Submitted to ORA: 

Submitted

Publication Type: 

Journal Article