3 papers
math.GR2026
Polynomial-time isomorphism test for solvable groups with abelian Sylow subgroups
Saveliy V. Skresanov
The group isomorphism problem in computational complexity asks whether two finite groups given by their Cayley tables are isomorphic or not. Although polynomial-time isomorphism te…
math.CO2023
On directed and undirected diameters of vertex-transitive graphs
Saveliy V. Skresanov
A directed diameter of a directed graph is the maximum possible distance between a pair of vertices, where paths must respect edge orientations, while undirected diameter is the di…
math.GR2019
Group topologies on integers and S-unit equations
Saveliy Skresanov
A sequence of integers is called a T-sequence if there exists a Hausdorff group topology on such that $ \{ s_n \}_{n \in \mathbb{N}}…