Hart, Sarah and Rowley, P. (2018) Maximal length elements of excess zero in finite Coxeter Groups. Journal of Group Theory 21 (5), ISSN 1435-4446.
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Official URL: https://doi.org/10.1515/jgth-2018-0016
Abstract
Here we prove that for W a finite Coxeter group and C a conjugacy class of W, there is always an element of C of maximal length in C which has excess zero. An element w \in W has excess zero if there exist elements $\sigma, \tau \in W$ such that $\sigma^2 = \tau^2 = 1, w = \sigma\tau$ and \ell(w) = \ell(\sigma) + \ell(\tau), with \ell being the length function on W.
Metadata
| Item Type: | Article |
|---|---|
| Additional Information: | This is the submitted version that has been accepted (14 Feb 2018); it was accepted subject to some minor changes suggested by the referees which we will be making, so this version is not the final version that will be published. |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hart |
| Date Deposited: | 04 Jun 2018 12:43 |
| Last Modified: | 09 Aug 2023 12:43 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/21274 |
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