Matching theorems for systems of a finitely generated Coxeter group

Details Matching theorems for systems of a finitely generated Coxeter group Matching theorems for systems of a finitely generated Coxeter group

2005-01-06

arxiv.org/abs/math/0501075v3

Mathematics

Group Theory

This paper replaces our earlier paper "On the isomorphism problem for finitely generated Coxeter groups. I, Basic matching". 4

Scientific paper

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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