On Tits' Centre Conjecture for Fixed Point Subcomplexes

Details On Tits' Centre Conjecture for Fixed Point Subcomplexes On Tits' Centre Conjecture for Fixed Point Subcomplexes

2008-11-26

arxiv.org/abs/0811.4294v2

Mathematics

Group Theory

4 pages; minor changes, to appear in C. R. Acad. Sci. Paris Ser. I Math

Scientific paper

We give a short and uniform proof of a special case of Tits' Centre
Conjecture using a theorem of J-P. Serre and a result from our earlier work. We
consider fixed point subcomplexes $X^H$ of the building $X = X(G)$ of a
connected reductive algebraic group $G$, where $H$ is a subgroup of $G$.

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