Open Access
Feb. 2003 Determination up to isomorphism of right-angled Coxeter systems
Tetsuya Hosaka
Proc. Japan Acad. Ser. A Math. Sci. 79(2): 33-35 (Feb. 2003). DOI: 10.3792/pjaa.79.33

Abstract

In this paper, we announce that every right-angled Coxeter group determines its Coxeter system up to isomorphism. This implies that the Dranishnikov's rigidity conjecture is the case for right-angled Coxeter groups, i.e., every right-angled Coxeter group determines its boundary up to homeomorphism.

Citation

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Tetsuya Hosaka. "Determination up to isomorphism of right-angled Coxeter systems." Proc. Japan Acad. Ser. A Math. Sci. 79 (2) 33 - 35, Feb. 2003. https://doi.org/10.3792/pjaa.79.33

Information

Published: Feb. 2003
First available in Project Euclid: 18 May 2005

zbMATH: 1054.20021
MathSciNet: MR1960740
Digital Object Identifier: 10.3792/pjaa.79.33

Subjects:
Primary: 20F55 , 20F65 , 57M07

Keywords: boundaries of groups , Coxeter groups , right-angled Coxeter groups

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 2 • Feb. 2003
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