Journal article icon

Journal article

Weak commutativity and finiteness properties of groups

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.
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1112/blms.12219

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Magdalen College
Role:
Author
More from this funder
Grant:
Wolfson Research Merit Award
Publisher:
London Mathematical Society Publisher's website
Journal:
Bulletin of the London Mathematical Society Journal website
Volume:
51
Issue:
1
Pages:
168-180
Publication date:
2018-11-18
Acceptance date:
2018-10-19
DOI:
EISSN:
1469-2120
ISSN:
0024-6093
Source identifiers:
702608
Keywords:
Pubs id:
pubs:702608
UUID:
uuid:b1c329db-bc80-44ac-b14d-69f48e91f75b
Local pid:
pubs:702608
Deposit date:
2017-07-13

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP