Journal title
Bulletin of the London Mathematical Society
DOI
10.1112/blms.12219
Issue
1
Volume
51
Last updated
2024-04-11T10:33:54.79+01:00
Page
168-180
Abstract
We consider the groupX(G) obtained fromG∗Gby forcing each elementgin the first freefactor to commute with the copy ofgin the second free factor. Deceptively complicated finitelypresented groups arise from this construction:X(G) is finitely presented if and only ifGis finitelypresented, but ifFis a non-abelian free group of finite rank thenX(F) has a subgroup of finiteindex whose third homology is not finitely generated.
Symplectic ID
702608
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Publication type
Journal Article
Publication date
18 Nov 2018