Transitivity properties for group actions on buildings

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study two transitivity properties for group actions on buildings, called Weyl transitivity and strong transitivity. Following hints by Tits, we give examples involving anisotropic algebraic groups to show that strong transitivity is strictly stronger than Weyl transitivity. A surprising feature of the examples is that strong transitivity holds more often than expected.
9 pages; corrections to bibliography

Keywords

Group Theory, 20E42 (primary); 20G25, 51E24, 20E08 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/140082

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601450
 http://arxiv.org/abs/math/0601450
 J. Group Theory 10 (2007), no. 3, 267--277

Collections

arXiv