Group actions of A₅ on contractible 2-complexes

2020/09/03 by Iván Sadofschi Costa, Costa, Iván Sadofschi
Mathematics · #20E06 #20F05 #55M20 #55M25 #57M20 #57M60 #57S17 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #math.AT #math.GR #msc:20E06 #msc:20F05 #msc:55M20 #msc:55M25 #msc:57M20 #msc:57M60 #msc:57S17

paper · pdf · doi:10.48550/arxiv.2009.01755

arxiv created 2020/10/21 · arxiv updated 2020/10/22

Abstract

We prove that every action of A₅ on a finite 2-dimensional contractible complex has a fixed point.

Related

• Group actions on contractible 2-complexes I
• Group actions on contractible 2-complexes II
• Fixed Point Sets in Diagrammatically Reducible Complexes
• Torsion groups do not act on 2-dimensional CAT(0) complexes
• Fixed points for group actions on 2-dimensional affine buildings