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

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DOI

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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     author = {Worthington, R. L.},
     title = {The {Growth} {Series} of {Compact} {Hyperbolic} {Coxeter} {Groups} with 4 and 5 {Generators}},
     journal = {Canadian mathematical bulletin},
     pages = {231--239},
     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-033-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-033-5/}
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