Journal article

### Adding high powered relations to large groups

Abstract:

A group is known as `large' if some finite index subgroup admits a surjective homomorphism onto a non-abelian free group. The main theorem of the paper is as follows. Let G be a finitely generated, large group and let g_1,...,g_r be a collection of elements of G. Then G/<> is also large, for infinitely many integers n. Furthermore, when G is free, this holds for all but finitely many n. These results have the following application to Dehn surgery. Let M be a compact ori...

Publication status:
Published

### Access Document

Publisher copy:
10.4310/MRL.2007.v14.n6.a7

### Authors

More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
MATHEMATICAL RESEARCH LETTERS
Volume:
14
Issue:
5-6
Pages:
983-993
Publication date:
2005-12-15
DOI:
EISSN:
1945-001X
ISSN:
1073-2780
URN:
uuid:6db1626a-0189-4802-af71-b24e9d03acb8
Source identifiers:
1047
Local pid:
pubs:1047
Language:
English
Keywords: