Double coset decompositions of groups
Niblo, Graham A. (1999) Double coset decompositions of groups. Journal of Algebra, 220, (2), 512-518. (doi:10.1006/jabr.1999.7935).
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Original Publication URL: http://dx.doi.org/10.1006/jabr.1999.7935
Description/Abstract
We show that residually finite or word hyperbolic groups which can be decomposed as a finite union of double cosets of a cyclic subgroup are necessarily virtually cyclic, and apply this result to the study of Frobenius permutation groups. We show that in general finite double coset decompositions of a group can be interpreted as an obstruction to splitting a group as a free product with amalgamation or an HNN extension.
| Item Type: | Article |
|---|---|
| ISSNs: | 0021-8693 (print) |
| Related URLs: | |
| Keywords: | Frobenius groups, double coset decompositions, Bass–Serre theory, residually finite groups, word hyperbolic groups |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 29815 |
| Date Deposited: | 28 Jul 2006 |
| Last Modified: | 28 Jun 2012 10:15 |
| Contributors: | Niblo, Graham A. (Author) |
| Date: | 1999 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29815 |
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