Random groups have fixed points on CAT(0) cube complexes

arxiv: 1012.4147 · v1 · pith:DDD3LVOGnew · submitted 2010-12-19 · 🧮 math.MG · math.GR

Koji Fujiwara , Tetsu Toyoda This is my paper

classification 🧮 math.MG math.GR

keywords cubefixedpointsrandomactionactsassumecomplex

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We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.

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