Transitivity properties for group actions on buildings
Group Theory
2007-10-16 v3
Abstract
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.
Keywords
Cite
@article{arxiv.math/0601450,
title = {Transitivity properties for group actions on buildings},
author = {Peter Abramenko and Kenneth S. Brown},
journal= {arXiv preprint arXiv:math/0601450},
year = {2007}
}
Comments
9 pages; corrections to bibliography