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/<
Expand abstract> 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
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- Publisher copy:
- 10.4310/MRL.2007.v14.n6.a7
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Bibliographic Details
- Journal:
- MATHEMATICAL RESEARCH LETTERS
- Volume:
- 14
- Issue:
- 5-6
- Pages:
- 983-993
- Publication date:
- 2005-12-15
- DOI:
- EISSN:
-
1945-001X
- ISSN:
-
1073-2780
- Source identifiers:
-
1047
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1047
- UUID:
-
uuid:6db1626a-0189-4802-af71-b24e9d03acb8
- Local pid:
- pubs:1047
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2005
- Notes:
-
15 pages, 7 figures; v2: minor corrections and improved exposition;
to appear in Mathematical Research Letters
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