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The rank gradient from a combinatorial viewpoint

Abstract:
This paper investigates the asymptotic behaviour of the minimal number of generators of finite index subgroups in residually finite groups. We analyze three natural classes of groups: amenable groups, groups possessing an infinite soluble normal subgroup and virtually free groups. As a tool for the amenable case we generalize Lackenby's trichotomy theorem on finitely presented groups.

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Publisher copy:
10.4171/GGD/124

Authors


Journal:
Groups, Geometry, and Dynamics
Volume:
5
Issue:
2
Pages:
213-230
Publication date:
2007-01-31
DOI:
EISSN:
1661-7215
ISSN:
1661-7207
URN:
uuid:d0fab0de-770c-44bd-bc36-af43524e2090
Source identifiers:
354387
Local pid:
pubs:354387
Language:
English
Keywords:

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