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Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities

Abstract:
We describe a doubling construction that gives many new examples of groups that satisfy a quadratic isoperimetric inequality. Using this construction, we prove that the presence of a quadratic isoperimetric inequality does not constrain the higher finiteness properties of a group (in contrast to the sub-quadratic case). © 1999 Academic Press.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1006/jabr.1998.7710

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Elsevier
Journal:
JOURNAL OF ALGEBRA More from this journal
Volume:
214
Issue:
2
Pages:
652-667
Publication date:
1999-04-15
DOI:
ISSN:
0021-8693


Language:
English
Pubs id:
2778
UUID:
uuid:72ad1435-4c1c-413b-8196-259eef65c6fd
Local pid:
pubs:2778
Source identifiers:
2778
Deposit date:
2012-12-19
ARK identifier:

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