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Matching theorems for systems of a finitely generated Coxeter group

Michael Mihalik·John Ratcliffe·Steven Tschantz
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Abstract

In this paper we prove a series of matching theorems for two sets of Coxeter generators of a finitely generated Coxeter group that identify common features of the two sets of generators. As an application, we describe an algorithm for finding a set of Coxeter generators of maximum rank for a finitely generated Coxeter group.

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Michael Mihalik, John Ratcliffe, Steven Tschantz. 2006-05-16. Matching theorems for systems of a finitely generated Coxeter group. https://doi.org/10.2140/agt.2007.7.919

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