Quotient isomorphism invariants of a finitely generated Coxeter group

Michael Mihalik; John Ratcliffe; Steven Tschantz

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Quotient isomorphism invariants of a finitely generated Coxeter group

Michael Mihalik·John Ratcliffe·Steven Tschantz

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Abstract

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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BibTeX RIS

Michael Mihalik, John Ratcliffe, Steven Tschantz. 2006-07-18. Quotient isomorphism invariants of a finitely generated Coxeter group. https://arxiv.org/abs/math/0607428

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