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2008 Angle-deformations in Coxeter groups
Timothée Marquis, Bernhard Mühlherr
Algebr. Geom. Topol. 8(4): 2175-2208 (2008). DOI: 10.2140/agt.2008.8.2175

Abstract

The isomorphism problem for Coxeter groups has been reduced to its “reflection preserving version” by B Howlett and the second author. Thus, in order to solve it, it suffices to determine for a given Coxeter system (W,R) all Coxeter generating sets S of W which are contained in RW, the set of reflections of (W,R). In this paper, we provide a further reduction: it suffices to determine all Coxeter generating sets SRW which are sharp-angled with respect to R.

Added 22 May 2012: The description of Figure 3 in Section 8.1 has been corrected.

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Timothée Marquis. Bernhard Mühlherr. "Angle-deformations in Coxeter groups." Algebr. Geom. Topol. 8 (4) 2175 - 2208, 2008. https://doi.org/10.2140/agt.2008.8.2175

Information

Received: 21 February 2008; Revised: 19 October 2008; Accepted: 29 October 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1184.20032
MathSciNet: MR2465738
Digital Object Identifier: 10.2140/agt.2008.8.2175

Subjects:
Primary: 20F55
Secondary: 51F15

Rights: Copyright © 2008 Mathematical Sciences Publishers

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