Chordal Coxeter Groups
群论
2007-05-23 v2
摘要
A solution of the isomorphism problem is presented for the class of Coxeter groups W that have a finite set of Coxeter generators S such that the underlying graph of the presentation diagram of the system (W,S) has the property that every cycle of length at least four has a cord. As an application, we construct counterexamples to two main conjectures concerning the isomorphism problem for Coxeter groups.
引用
@article{arxiv.math/0607301,
title = {Chordal Coxeter Groups},
author = {John Ratcliffe and Steven Tschantz},
journal= {arXiv preprint arXiv:math/0607301},
year = {2007}
}