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math.GR2026
Groups with the fixed-point property
Nicolas Monod, Omer Tamuz, Lizzy Teryoshin
We propose the study of the class of groups that fix a point for every continuous action on any convex compact space. Oliver completed the corresponding program of classifying the…
math.GR2025
A fixed-point theorem for face maps, or deletion-tolerant random finite sets
Tom Hutchcroft, Nicolas Monod, Omer Tamuz
We establish a fixed-point theorem for the face maps that consist in deleting the th entry of an ordered set. Furthermore, we show that there exists random finite sets of intege…
math.GR2024
Infinite stationary measures of co-compact group actions
Mohammedsaid Alhalimi, Tom Hutchcroft, Minghao Pan +2
Let be a finitely generated group, and let be a nondegenerate, finitely supported probability measure on . We show that every co-compact action on a locally compact…