LENGTHS OF PARABOLIC SUBGROUPS IN FINITE COXETER GROUPS

Authors : Sarah B Hart, Peter J Rowley

Pages : 10-37

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Publication Date : 2011-06-01

Article Type : Research Paper

Abstract :The definition of length for an element in a Coxeter group was generalized by Perkins and Rowley [7] to assign a length to subsets of a Coxeter group. Here the lengths of irreducible parabolic subgroups of finite Coxeter groups are determined.
Keywords : Coxeter group, length, parabolic subgroup