Subgroup Growth of Virtually Cyclic Right-Angled Coxeter Groups and Their Free Products

Authors :: Hyungryul Baik
Bram Petri
Jean Raimbault
Source :: Combinatorica. 39:779-811
Publication Year :: 2019
Publisher :: Springer Science and Business Media LLC, 2019.
Abstract: We determine the asymptotic number of index n subgroups in virtually cyclic Coxeter groups and their free products as n → ∞.

Subjects :: 010102 general mathematics
Coxeter group
0102 computer and information sciences
01 natural sciences
Subgroup growth
Combinatorics
Mathematics::Group Theory
Computational Mathematics
Free product
Mathematics::K-Theory and Homology
010201 computation theory & mathematics
Discrete Mathematics and Combinatorics
0101 mathematics
Mathematics::Representation Theory
Mathematics

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