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On Tits' Centre Conjecture for fixed point subcomplexes

On Tits' Centre Conjecture for fixed point subcomplexes

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 the authors in 2005. We consider fixed point subcomplexes XH of the building X=X(G) of a connected reductive algebraic group G, where H is a …