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On the Derived Length of Coxeter Groups
Authors:Peter A Brooksbank  Adam Piggott
Institution:1. Department of Mathematics , Bucknell University , Lewisburg , Pennsylvania , USA pbrooksb@bucknell.edu;3. Department of Mathematics , Bucknell University , Lewisburg , Pennsylvania , USA
Abstract:We characterize certain properties of the derived series of Coxeter groups by properties of the corresponding Coxeter graphs. In particular, we give necessary and sufficient conditions for a Coxeter group to be quasiperfect.
Keywords:Coxeter group  Derived series
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