- 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.
- Publisher copy:
- 10.4171/GGD/124
-
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- 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:
- Copyright date:
- 2007
- Notes:
- corrected some typos, to appear in Groups, Geometry and Dynamics
Journal article
The rank gradient from a combinatorial viewpoint
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