arXiv:1812.02543 Abstract | arXiv Analytics

arXiv:1812.02543 [math.GR]Abstract References Reviews Resources

Cyclically reduced elements in Coxeter groups

Published 2018-12-06Version 1

Let $W$ be a Coxeter group. We provide a precise description of the conjugacy classes in $W$, yielding an analogue of Matsumoto's theorem for the conjugacy problem in arbitrary Coxeter groups. This extends to all Coxeter groups an important result on finite Coxeter groups by M. Geck and G. Pfeiffer from 1993.

Comments: 13 pages

Categories: math.GR

Subjects: 20F55, 20E45

Keywords: cyclically reduced elements, finite coxeter groups, arbitrary coxeter groups, conjugacy classes, conjugacy problem

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