Transitivity properties for group actions on buildings

Journal of Group Theory

Volumn 10, Issue 3, 2007, Pages 267-277

  Abramenko, Peter ^a   Brown, Kenneth S ^b  

^a University of Virginia   (United States)

^b Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34347273035     PISSN: 14335883     EISSN: 14354446     Source Type: Journal    
DOI: 10.1515/JGT.2007.021     Document Type: Article

References (14)

1. P. Abramenko and K. S. Brown. Approaches to buildings. In preparation, based on [3].
2. N. Bourbaki. Élements de mathématique. 23. Première partie: Les structures fondamentales de l'analyse. Livre II: Algèbre. Chapitre 8: Modules et anneaux semi-simples. Actualités Sci. Ind. 1261 (Hermann, 1958).
3. K. S. Brown. Buildings (Springer-Verlag, 1989).
4. F. Bruhat and J. Tits. Groupes réductifs sur un corps local. Inst. Hautes Études Sci. Publ. Math. 41 (1972), 5-251.
5. T. Y. Lam. Introduction to quadratic forms over fields. Graduate Studies in Math. 67 (American Mathematical Society, 2005).
6. O. T. O'Meara. Introduction to quadratic forms. Reprint of the 1973 edn. (Springer-Verlag, 2000).
7. V. Platonov and A. Rapinchuk. Algebraic groups and number theory. Pure and Applied Math. 139 (Academic Press Inc., 1994).
8. M. Ronan. Lectures on buildings (Academic Press Inc., 1989).
9. R. Scharlau. Buildings. In Handbook of incidence geometry (North-Holland, 1995), pp. 477-645.
10. W. Scharlau. Quadratic and Hermitian forms. Grundlehren der Math. Wissensch. 270 (Springer-Verlag, 1985).
11. J.-P. Serre. A course in arithmetic. Graduate Texts in Math. 7 (Springer-Verlag, 1973).
12. J.-P. Serre. Trees (Springer-Verlag, 2003).
13. J. Tits. Buildings of spherical type and finite BN-pairs. Lecture Notes in Math. 386 (Springer-Verlag, 1974).
14. J. Tits. Twin buildings and groups of Kac-Moody type. In Groups, combinatorics & geometry (Durham, 1990), London Math. Soc. Lecture Note Ser. 165 (Cambridge University Press, 1992), pp. 249-286.