On Tits' Centre Conjecture for Fixed Point Subcomplexes
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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 $G$.
4 pages; minor changes, to appear in C. R. Acad. Sci. Paris Ser. I Math
4 pages; minor changes, to appear in C. R. Acad. Sci. Paris Ser. I Math