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The fixed point theorem for simplicial nonpositive curvature
Published online by Cambridge University Press: 01 May 2008
Abstract
We prove that for an action of a finite group G on a systolic complex X there exists a G–invariant subcomplex of X of diameter ≤5. For 7–systolic locally finite complexes we prove there is a fixed point for the action of any finite G. This implies that free products with amalgamation (and HNN extensions) of 7–systolic groups over finite subgroups are also 7–systolic.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 3 , May 2008 , pp. 683 - 695
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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