Maximal length elements of excess zero in finite Coxeter groups
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Abstract In this paper 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)} , {\ell} being the length function on W.
2020 ◽
Vol DMTCS Proceedings, 28th...
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2005 ◽
Vol 79
(1)
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pp. 141-147
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2009 ◽
Vol DMTCS Proceedings vol. AK,...
(Proceedings)
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2007 ◽
Vol 17
(03)
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pp. 427-447
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2014 ◽
Vol 66
(2)
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pp. 354-372
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