- Abstract:
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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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Publisher copy:
- 10.1007/s00208-016-1387-0
-
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- 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:
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1432-1807 and 0025-5831
- Pubs id:
-
pubs:429119
- URN:
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uri:d0c913a8-2491-4fbf-af08-5583833f6dc3
- UUID:
-
uuid:d0c913a8-2491-4fbf-af08-5583833f6dc3
- Local pid:
- pubs:429119
- Keywords:
- Copyright holder:
- Springer-Verlag Berlin Heidelberg
- Copyright date:
- 2016
Journal article
Volume gradients and homology in towers of residually-free groups
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Engineering and Physical Sciences Research Council (GB)
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