Reflection independence in even coxeter groups

Geometriae Dedicata

Volumn 110, Issue 1, 2005, Pages 63-80

  Bahls, Patrick ^a   Mihalik, Michael ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

Coxeter group; Coxeter system; Group presentation; Reflection; Simplex

Indexed keywords

EID: 17444386306     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10711-003-1134-z     Document Type: Article

References (12)

1. Radcliffe, D.: Rigidity of right-angled Coxeter groups, PhD Thesis, University of Wisconsin, Milwaukee, 2000.
2. Bahls, P.: A new class of rigid Coxeter groups, Internat. J. Algebra Comput. (in press).
3. Bahls, P.: Even rigidity in Coxeter groups, PhD Thesis, Vanderbilt University, 2002.
4. Charney, R. and Davis, M.: When is a Coxeter system determined by its Coxeter group? J. London Math. Soc. 61(2) (2000), 441-461.
5. Kaul, A.: A class of rigid Coxeter groups, J. London. Math. Soc. 66(2) (2002), 592-604.
6. Mihalik, M. and Tschantz, S.: Visual decompositions of Coxeter groups, Preprint 2001.
7. Mihalik, M.: Classifying even Coxeter groups with non-even diagrams, Preprint, 2002.
8. Humphreys, J.: Reflection Groups and Coxeter Groups, Cambridge Stud, in Adv. Math. 29, Cambridge University Press, Cambridge, 1990.
9. Bourbaki, N.: Groupes et algèbres de Lie, Chapter IV-VI, Hermann, Paris, 1981.
10. Carter, R.: Finite Groups of Lie Type: Conjugacy Classes and Complex Characters, Wiley, Chichester, 1985.
11. Rotman, J.: An Introduction to the Theory of Groups, 4th edn, Grad. Texts in Math. 148, Springer, Berlin, 1995.
12. Brady, N., McCammond, J., Mühlherr, B. and Neumann, W.: Rigidity of Coxeter groups and artin groups, Geom. Dedicata. 94(1) (2002), 91-109.