arXiv Analytics

Sign in

arXiv:0910.4997 [math.GR]AbstractReferencesReviewsResources

On the rank of Coxeter groups

Mathieu Carette, Richard Weidmann

Published 2009-10-26Version 1

We show that the standard generating set of a Coxeter group is of minimal cardinality provided that the non-diagonal entries of the Coxeter matrix are sufficiently large.

Comments: 36 pages, 26 figures
Categories: math.GR
Subjects: 20F55, 20F05, 20F10, 20F65
Related articles: Most relevant | Search more
arXiv:2410.22599 [math.GR] (Published 2024-10-29)
Ultra-Low elements and Join Irreducible gates in Coxeter groups
arXiv:0912.0061 [math.GR] (Published 2009-12-01, updated 2010-11-28)
On boundaries of Coxeter groups and topological fractal structures
arXiv:2109.01473 [math.GR] (Published 2021-09-03)
On the Left Connected Subalgebra of the Descent Algebra of a Coxeter Group of Classical Type