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arXiv · 0909.2761

The Center Conjecture for thick spherical buildings

Carlos Ramos-Cuevas
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Abstract

In this paper we show that a convex subcomplex of a spherical building of type E6, E7 or E8 is a subbuilding or the automorphisms of the subcomplex fix a point on it. Together with previous results of M\"uhlherr-Tits, and Leeb and the author, this completes the proof of Tits' Center Conjecture for spherical buildings without factors of type H4, in particular, for thick spherical buildings.

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Carlos Ramos-Cuevas. 2009-09-15. The Center Conjecture for thick spherical buildings. https://doi.org/10.1007/s10711-012-9799-9

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