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Volume gradients and homology in towers of residually-free groups

Abstract:

We study the asymptotic growth of homology groups and the cellular volume of classifying spaces as one passes to normal subgroups (Formula presented.) of increasing finite index in a fixed finitely generated group G, assuming (Formula presented.). We focus in particular on finitely presented residually free groups, calculating their (Formula presented.) betti numbers, rank gradient and asymptotic deficiency. If G is a limit group and K is any field, then for all (Formula presented.) the limit...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00208-016-1387-0

Authors


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Department:
Oxford, MPLS, Mathematical Institute
Kochloukova, DH More by this author
Engineering and Physical Sciences Research Council (GB) More from this funder
The Royal Society More from this funder
Publisher:
Springer-Verlag Berlin Heidelberg Publisher's website
Journal:
Mathematische Annalen Journal website
Volume:
367
Issue:
3-4
Pages:
1007–1045
Publication date:
2016-04-06
Acceptance date:
2015-09-05
DOI:
ISSN:
1432-1807 and 0025-5831
Pubs id:
pubs:429119
URN:
uri:d0c913a8-2491-4fbf-af08-5583833f6dc3
UUID:
uuid:d0c913a8-2491-4fbf-af08-5583833f6dc3
Local pid:
pubs:429119

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