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Angle-deformations in
Coxeter groups
Timothée Marquis and Bernhard Mühlherr |
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Algebraic & Geometric Topology 8 (2008) 2175–2208
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Abstract |
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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 all Coxeter generating sets of which are contained in , the set of reflections of . In this paper, we provide a further reduction: it suffices to determine all Coxeter generating sets which are sharp-angled with respect to . Added 22 May 2012: The description of Figure 3 in Section 8.1 has been corrected. |
Keywords
angle-deformation, Coxeter group, isomorphism problem,
sharp-angled
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Mathematical Subject Classification 2000
Primary: 20F55
Secondary: 51F15
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References |
Publication
Received: 21 February 2008
Revised: 19 October 2008
Accepted: 29 October 2008
Published: 3 December 2008
Corrected: 22 May 2012
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Authors |
| Timothée Marquis | |
| Université Libre de Bruxelles Département de Mathématiques Boulevard du Triomphe CP 216 Brussels, 1050 Belgium |
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| Bernhard Mühlherr | |
| Universität Giessen Mathematisches Institut Arndtstrasse 2 Giessen, D-35392 Germany |
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