The fixed point theorem for simplicial nonpositive curvature

• Autores: Piotr Przytycki
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 144, Nº 3, 2008, págs. 683-695
• Idioma: inglés
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• Resumen

  • 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.