Journal article icon

Journal article

A characterisation of large finitely presented groups

Abstract:

A group is known as `large' if some finite index subgroup admits a surjective homomorphism onto a non-abelian free group. In this paper, we give a necessary and sufficient condition for a finitely presented group to be large, in terms of the existence of a normal series where successive quotients are finite abelian groups with sufficiently large rank and order. The proof of this result involves an analysis of the geometry and topology of finite Cayley graphs. Theorems of Baumslag and Pride, a...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1016/j.jalgebra.2005.03.004

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier
Journal:
Journal of Algebra More from this journal
Volume:
287
Issue:
2
Pages:
458-473
Publication date:
2005-05-15
DOI:
ISSN:
0021-8693
Language:
English
Keywords:
Pubs id:
pubs:13069
UUID:
uuid:fe7ce7bd-7d4d-4db9-9d9a-3b6f886dbc8c
Local pid:
pubs:13069
Source identifiers:
13069
Deposit date:
2012-12-19

Terms of use


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