The rank gradient from a combinatorial viewpoint | Zendy

Miklós Abért | Zendy; Andrei JaikinZapirain | Zendy; Nikolay Nikolov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The rank gradient from a combinatorial viewpoint

Author(s) -

Miklós Abért,

Andrei JaikinZapirain,

Nikolay Nikolov

Publication year - 2011

Publication title -

groups geometry and dynamics

Language(s) - English

Resource type - Journals

eISSN - 1661-7215

pISSN - 1661-7207

DOI - 10.4171/ggd/124

Subject(s) - trichotomy (philosophy) , mathematics , finitely generated abelian group , rank (graph theory) , combinatorics , group (periodic table) , normal subgroup , stallings theorem about ends of groups , abelian group , discrete mathematics , pure mathematics , philosophy , linguistics , chemistry , organic chemistry

This paper investigates the asymptotic behaviour of the minimal number ofgenerators of finite index subgroups in residually finite groups. We analyzethree natural classes of groups: amenable groups, groups possessing an infinitesoluble normal subgroup and virtually free groups. As a tool for the amenablecase we generalize Lackenby's trichotomy theorem on finitely presented groups

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research