Geodesic growth in right-angled and even Coxeter groups

2012/03/13 by Yago Antolín, Antolín, Yago, Laura Ciobanu +1
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1203.2752

openalex publication_date 2012/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The objective of this paper is to detect which combinatorial properties of a regular graph can completely determine the geodesic growth of the right-angled Coxeter or Artin group this graph defines, and to provide the first examples of right-angled and even Coxeter groups with the same geodesic growth series.

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