Geodesic
The Growth Series of Compact Hyperbolic Coxeter Groups with 4 and 5 Generators
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 231-239

Voir la notice de l'article provenant de la source Cambridge University Press

The growth series of compact hyperbolic Coxeter groups with 4 and 5 generators are explicitly calculated. The assertions of J. Cannon and Ph. Wagreich for the 4-generated groups, that the poles of the growth series lie on the unit circle, with the exception of a single real reciprocal pair of poles, are verified. We also verify that for the 5-generated groups, this phenomenon fails.
DOI : 10.4153/CMB-1998-033-5
Mots-clés : 20F05, 20F55 
Worthington, R. L. The Growth Series of Compact Hyperbolic Coxeter Groups with 4 and 5 Generators. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 231-239. doi: 10.4153/CMB-1998-033-5
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