Geodesic
Angle-deformations in Coxeter groups
Marquis, Timothée1 ; Mühlherr, Bernhard2
1Université Libre de Bruxelles, Département de Mathématiques, Boulevard du Triomphe CP 216, Brussels, 1050, Belgium
2Universität Giessen, Mathematisches Institut, Arndtstrasse 2, Giessen, D-35392, Germany
Algebraic and Geometric Topology, Tome 8 (2008) no. 4, pp. 2175-2208
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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 (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 S ⊆ RW which are sharp-angled with respect to R.

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

DOI : 10.2140/agt.2008.8.2175
Keywords: angle-deformation, Coxeter group, isomorphism problem, sharp-angled

Marquis, Timothée  1   ; Mühlherr, Bernhard  2

1 Université Libre de Bruxelles, Département de Mathématiques, Boulevard du Triomphe CP 216, Brussels, 1050, Belgium
2 Universität Giessen, Mathematisches Institut, Arndtstrasse 2, Giessen, D-35392, Germany 
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Marquis, Timothée; Mühlherr, Bernhard. Angle-deformations in Coxeter groups. Algebraic and Geometric Topology, Tome 8 (2008) no. 4, pp. 2175-2208. doi: 10.2140/agt.2008.8.2175

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