Geodesic Growth of some 3-dimensional RACGs
Yago Antol\'in, Islam Foniqi
TL;DR
This paper derives explicit formulas for the geodesic growth series of certain 3-dimensional RACGs defined by link-regular, tetrahedron-free graphs, advancing understanding of their algebraic and geometric properties.
Contribution
It provides the first explicit formulas for geodesic growth series of RACGs based on specific link-regular, tetrahedron-free graphs.
Findings
Explicit formulas for geodesic growth series of these RACGs
Characterization of RACGs with tetrahedron-free link-regular graphs
Enhanced understanding of the algebraic structure of these groups
Abstract
We give explicit formulas for the geodesic growth series of a Right Angled Coxeter Group (RACG) based on a link-regular graph that is 4-clique free, i.e. without tetrahedrons
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Geometric and Algebraic Topology · Advanced Combinatorial Mathematics