Articles with "hyperbolic coxeter" as a keyword



High dimensional hyperbolic Coxeter groups that virtually fiber

Sign Up to like & get
recommendations!
Published in 2025 at "Mathematische Annalen"

DOI: 10.1007/s00208-025-03296-2

Abstract: This paper provides an iterative procedure for constructing hyperbolic Coxeter groups that virtually fiber over $\mathbb{Z}$ that is flexible enough to yield infinitely many isomorphism classes in each virtual cohomological dimension (vcd) $n\geq 2$. Our… read more here.

Keywords: hyperbolic coxeter; coxeter; groups virtually; high dimensional ... See more keywords

Growth Rates of 3-dimensional Hyperbolic Coxeter Groups are Perron Numbers

Sign Up to like & get
recommendations!
Published in 2018 at "Canadian Mathematical Bulletin"

DOI: 10.4153/cmb-2017-052-5

Abstract: Abstract In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra with at least one dihedral angle of the form $\frac{\pi }{k}$ for an integer $k\ge 7$ . Combining a classical result… read more here.

Keywords: hyperbolic coxeter; rates dimensional; growth rates; dimensional hyperbolic ... See more keywords