Transitivity properties for group actions on buildings

Details Transitivity properties for group actions on buildings Transitivity properties for group actions on buildings

2006-01-18

arxiv.org/abs/math/0601450v3

J. Group Theory 10 (2007), no. 3, 267--277

Mathematics

Group Theory

9 pages; corrections to bibliography

Scientific paper

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.

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