Journal article icon

Journal article

Detecting large groups

Abstract:

Let G be a finitely presented group, and let p be a prime. Then G is 'large' (respectively, 'p-large') if some normal subgroup with finite index (respectively, index a power of p) admits a non-abelian free quotient. This paper provides a variety of new methods for detecting whether G is large or p-large. These relate to the group's profinite and pro-p completions, to its first L2-Betti number and to the existence of certain finite index subgroups with 'rapid descent'. The paper draws on new t...

Expand abstract
Publication status:
Published

Actions


Access Document


Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
JOURNAL OF ALGEBRA
Volume:
324
Issue:
10
Pages:
2636-2657
Publication date:
2007-02-20
DOI:
EISSN:
1090-266X
ISSN:
0021-8693
URN:
uuid:3a083e31-1011-40ed-a53d-e9f1af8590f1
Source identifiers:
90948
Local pid:
pubs:90948
Language:
English
Keywords:

Terms of use


Metrics


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP