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arXiv · 1409.4142

Growth in Right-Angled Groups and Monoids

Jayadev S. Athreya·Amritanshu Prasad
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Abstract

We derive functional relationships between spherical generating functions of graph monoids, right-angled Artin groups and right-angled Coxeter groups. We use these relationships to express the spherical generating function of a right-angled Artin group in terms of the clique polynomial of its defining graph. We also describe algorithms for computing the geodesic generating functions of these structures.

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Jayadev S. Athreya, Amritanshu Prasad. 2014-09-15. Growth in Right-Angled Groups and Monoids. https://arxiv.org/abs/1409.4142

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