Random Group Actions on CAT(0) Square Complexes
Abstract
We generalize ideas of Jahncke from trees to square complexes. We introduce the notion of progression in CAT(0) square complexes. Using progression, we are able to build on the proof strategy of Dahmani-Guirardel-Przytycki to show any action of a random group with seven or more generators on a CAT(0) square complex has a global fixed point.
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