Rigidity of skew-angled Coxeter groups

Advances in Geometry

Volumn 2, Issue 4, 2002, Pages 391-415

  Mühlherr, Bernhard ^a   Weidmann, Richard ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14744293145     PISSN: 1615715X     EISSN: None     Source Type: Journal    
DOI: 10.1515/advg.2002.018     Document Type: Article

References (23)

1. P. Bahls, M. Mihalik, Reflection independence in even Coxeter groups. Preprint, 2001.
2. N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines. Hermann, Paris 1968. MR 39 #1590 Zbl 0186.33001
3. N. Brady, J. McCammond, B. Mühlherr, W. Neumann, Rigidity of Coxeter groups and Artin groups. To appear in Geom. Dedicata.
4. B. Brink, On centralizers of reflections in Coxeter groups. Bull. London Math. Soc. 28 (1996), 465-470. MR 97g:20044 Zbl 0852.20033
5. R. Charney, M. Davis, When is a Coxeter system determined by its Coxeter group? J. London Math. Soc. (2) 61 (2000), 441-461. MR 2001i:20078 Zbl 0983.20034
6. V. V. Deodhar, On the root system of a Coxeter group. Comm. Algebra 10 (1982), 611-630. MR 83j:20052a Zbl 0491.20032
7. V. V. Deodhar, A note on subgroups generated by reflections in Coxeter groups. Arch. Math. (Basel) 53 (1989), 543-546. MR 91c:20063 Zbl 0688.20028
8. M. Dyer, Reflection subgroups of Coxeter systems. J. Algebra 135 (1990), 57-73. MR 91j:20100 Zbl 0712.20026
9. B. Fine, G. Rosenberger, R. Weidmann, Two-generated subgroups of free products with commuting subgroups. To appear in J. Pure Appl. Algebra
10. D. I. Fouxe-Rabinovitch, Über die Automorphismengruppen der freien Produkte. I. Rec. Math. [Mat. Sbornik] N.S. 8 (50) (1940), 265-276. MR 2.215b Zbl 0025.00903
11. D. I. Fouxe-Rabinovitch, Über die Automorphismengruppen der freien Produkte. II. Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 183-220. MR 3,34e Zbl 0025.00904
12. F. Haglund, Plongements et rigidite de groupes de Coxeter. Preprint 2001.
13. J.-Y. Hée, Sur une courte note de V. V. Deodhar. Thèse d'état, Orsay, numéro d'ordre: 3622, 1993, 267-271.
14. A. Kaul, Rigidity for a class of Coxeter groups. PhD thesis, Oregon State University, 2000.
15. M. Mihalik, S. Tschantz, Visual decompositions of Coxeter groups. Preprint, 2000.
16. B. Mühlherr, Automorphisms of graph-universal Coxeter groups. J. Algebra 200 (1998), 629-649. MR 98m:20048 Zbl 0897.20033
17. B. Mühlherr, On isomorphisms between Coxeter groups. Des. Codes Cryptogr. 21 (2000), 189. MR 2001j:20059 Zbl 01571005
18. R. W. Richardson, Conjugacy classes of involutions in Coxeter groups. Bull. Austral. Math. Soc. 26 (1982), 1-15. MR 84c:20056 Zbl 0531.20017
19. M. Ronan, Lectures on buildings. Academic Press 1989. MR 90j:20001 Zbl 0694.51001
20. J. Tits, Le problème des mots dans les groupes de Coxeter. In: Symposia Mathematica (INDAM, Rome, 1967/68), Vol. 1, 175-185, Academic Press 1969. MR 40 #7339 Zbl 0206.03002
21. J. Tits, Structures et groupes de Weyl. In: Séminaire Bourbaki, Vol. 9, Exp. No. 288, 169-183, Soc. Math. France, Paris 1995. MR 1 608 796 Zbl 0269.20037
22. J. Tits, Sur le groupe des automorphismes de certains groupes de Coxeter. J. Algebra 113 (1988), 346-357. MR 89b:20077 Zbl 0657.20027
23. H. Zieschang, E. Vogt, H.-D. Coldewey, Surfaces and planar discontinuous groups. Springer 1980. MR 82h:57002 Zbl 0438.57001