Intrinsic reflections in Coxeter systems

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:144

Article

Muehlherr, Bernhard¹  Nuida, Koji^2,3 

[1] JLU Giessen, Math Inst, Giessen, Germany

[2] Natl Inst Adv Ind Sci & Technol, Informat Technol Res Inst, Tokyo, Japan

[3] Japan Sci & Technol Agcy JST PRESTO, Tokyo, Japan

关键词: Coxeter groups;    Isomorphism problem;    Reflections;   

DOI  :  10.1016/j.jcta.2016.06.009

来源: Elsevier

【 摘 要 】

Let (W, S) be a Coxeter system and let s is an element of S. We call s a right-angled generator of (W, S) if st = is or st has infinite order for each t is an element of S. We call s an intrinsic reflection of W if s is an element of R-W for all Coxeter generating sets R of W. We give necessary and sufficient conditions for a right-angled generator s is an element of S of (W, 5) to be an intrinsic reflection of W. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free