3 papers
math.LO2025
Compactifications of pseudofinite and pseudo-amenable groups
Gabriel Conant, Ehud Hrushovski, Anand Pillay
We first give simplified and corrected accounts of some results in \cite{PiRCP} on compactifications of pseudofinite groups. For instance, we use a classical theorem of Turing \cit…
math.LO2025
Higher arity stability and the functional order property
A. Abd-Aldaim, G. Conant, C. Terry
The -dimensional functional order property () is a combinatorial property of a -partitioned formula. This notion arose in work of Terry and Wolf, which iden…
math.GR2025
VC-dimension of generalized progressions in some nonabelian groups
Gabriel Conant, Aycin Iplikci Arodirik, Tora Ozawa +1
We analyze generalized progressions in some nonabelian groups using a measure of complexity called VC-dimension, which was originally introduced in statistical learning theory by V…