Quotient isomorphism invariants of a finitely generated Coxeter group

Details Quotient isomorphism invariants of a finitely generated Coxeter group Quotient isomorphism invariants of a finitely generated Coxeter group

2006-07-18

arxiv.org/abs/math/0607428v1

Mathematics

Group Theory

Scientific paper

In this paper we describe a family of isomorphism invariants of a finitely generated Coxeter group W. Each of these invariants is the isomorphism type of a quotient group W/N of W by a characteristic subgroup N. The virtue of these invariants is that W/N is also a Coxeter group. For some of these invariants, the isomorphism problem of W/N is solved and so we obtain isomorphism invariants that can be effectively used to distinguish isomorphism types of finitely generated Coxeter groups.

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