2 papers
math.GR2026
Nonsofic wreath products of residually finite groups
Gabor Kun, Andreas Thom
This work builds on the breakthrough of OpenAI in finding the first nonsofic group. We analyze the underlying proof mechanism and find further applications. Let be such that…
math.CO2024
The measurable Hall theorem fails for treeings
Gábor Kun
We construct, for every , a -regular acyclic measurably bipartite graphing that admits no measurable perfect matching, resolving a problem of Kechris and Marks. A dens…