Fixed-point property of random quotients by plain words

TL;DR

This paper proves that certain random quotients by plain words have a fixed-point property in a broad class of CAT(0) spaces, advancing understanding of geometric group actions.

Contribution

It establishes a fixed-point property for random quotients by plain words in CAT(0) spaces, a novel result in geometric group theory.

Findings

Fixed-point property holds for random quotients in CAT(0) spaces

Broad class of CAT(0) spaces considered

Advances understanding of group actions on non-positive curvature spaces

Abstract

We show a fixed-point property of random quotients by plain words for a wide class of CAT(0) spaces.