Automorphisms of Non-spherical Buildings Have Unbounded Displacement

نویسندگان

  • PETER ABRAMENKO
  • KENNETH S. BROWN
  • Hendrik Van Maldeghem
چکیده

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

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تاریخ انتشار 2007