G. Conant

activity

20142026

most citedA group version of stable regularity

25 citations · 70 across the 21 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.LO2018

Weakly minimal groups with a new predicate

Gabriel Conant, Michael C. Laskowski

Fix a weakly minimal (i.e., superstable $U$ -rank $1$ ) structure $M$ . Let $M^{*}$ be an expansion by constants for an elementary substructure, and let $A$ be an ar…

math.CO2018

On finite sets of small tripling or small alternation in arbitrary groups

Gabriel Conant

We prove Bogolyubov-Ruzsa-type results for finite subsets of groups with small tripling, $∣ A^{3} ∣ \leq O (∣ A ∣)$ , or small alternation, $∣ A A^{- 1} A ∣ \leq O (∣ A ∣)$ . As applications,…

math.CO2018★ 7 cited

Structure and regularity for subsets of groups with finite VC-dimension

G. Conant, A. Pillay, C. Terry

Suppose $G$ is a finite group and $A \subseteq G$ is such that ${g A : g \in G}$ has VC-dimension strictly less than $k$ . We find algebraically well-structured sets in $G$ which, up t…

math.LO2018

Pseudofinite groups and VC-dimension

Gabriel Conant, Anand Pillay

We develop local NIP group theory in the context of pseudofinite groups. In particular, given a sufficiently saturated pseudofinite structure $G$ expanding a group, and left invari…