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The Growth Series of Compact Hyperbolic Coxeter Groups with 4 and 5 Generators
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1998
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