Mathematics – Metric Geometry
Scientific paper
2009-09-15
Mathematics
Metric Geometry
54 pages
Scientific paper
We prove that a convex subcomplex of a spherical building of type E7 or E8 is
a subbuilding or the group of building automorphisms preserving the subcomplex
has a fixed point in it. Together with previous results of Muehlherr-Tits, and
Leeb and the author, this completes the proof of Tits' Center Conjecture for
thick spherical buildings.
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