Automorphisms of non-spherical buildings have unbounded displacement

Details Automorphisms of non-spherical buildings have unbounded displacement Automorphisms of non-spherical buildings have unbounded displacement

2007-10-07

arxiv.org/abs/0710.1426v1

Mathematics

Group Theory

8 pages

Scientific paper

If f is a nontrivial automorphism of a thick building Delta of purely
infinite type, we prove that there is no bound on the distance that f moves a
chamber. This has the following group-theoretic consequence: If G is a group of
automorphisms of Delta with bounded quotient, then the center of G is trivial.

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