A NEW CLASS OF RIGID COXETER GROUPS-Reference-Cited by-同舟云学术

A NEW CLASS OF RIGID COXETER GROUPS

Published:2003-02 Issue:01 Volume:13 Page:87-94
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BAHLS PATRICK¹

Affiliation:

1. Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA

Abstract

A Coxeter group is said to be rigid if any two systems for that group yield isomorphic Coxeter diagrams. A Coxeter group is said to be strongly rigid if moreover the generating sets of any two systems are conjugate. We determine a new class of Coxeter groups which are rigid, and introduce the notion of reflection independence, a generalization of strong rigidity.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196703001377

Reference3 articles.

1. When is a Coxeter System Determined by its Coxeter Group?

2. Reflection Groups and Coxeter Groups;Humphreys J.,1990

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