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Maximal length elements of excess zero in finite Coxeter Groups

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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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: 15 Apr 2025 19:06
URI: https://eprints.bbk.ac.uk/id/eprint/21274

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