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Poincaré Series of Cosets in Coxeter Groups

Sarah B. Hart

School of Economics, Mathematics & Statistics, Birkbeck College, Malet Street, London WC1E 7HX, UK

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Peter J. Rowley

School of Mathematics, University of Manchester, P.O. Box 88, Manchester M60 1QD, UK

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https://doi.org/10.1142/S1005386709000534Cited by:0 (Source: Crossref)

Abstract

The Poincaré series of a Coxeter group W measures its growth relative to the generating set R. A well-known formula gives an inductive method of calculating the Poincaré series of W when W is finite. The aim of this paper is to obtain generalizations of this formula.

Keywords:

AMSC: 20F55

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