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The fixed point theorem for simplicial nonpositive curvature

Published online by Cambridge University Press:  01 May 2008

PIOTR PRZYTYCKI
PIOTR PRZYTYCKI*
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warsaw, Poland. e-mail: [email protected]
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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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References

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