Fairbairn, Ben (2011) Symmetric Presentations of Coxeter Groups. Proceedings of the Edinburgh Mathematical Society 54 (3), pp. 669-683. ISSN 0013-0915.
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Official URL: http://dx.doi.org/10.1017/S0013091509000388
Abstract
We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups. We go on to use these techniques to provide explicit representations of these groups.
Metadata
| Item Type: | Article |
|---|---|
| Keyword(s) / Subject(s): | symmetric generation, Coxeter group |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Ben Fairbairn |
| Date Deposited: | 25 Jan 2013 10:12 |
| Last Modified: | 09 Aug 2023 12:32 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/5431 |
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