A. Vasil’ev

activity

20182020

most citedFactoring nonabelian finite groups into two subsets

2 citations · 2 across the 2 of their papers we have counts for

collaborators

4 papers

math.CO2020

A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers

Gang Chen, Jiawei He, Ilia Ponomarenko +1

Recent classification of $\frac{3}{2}$ -transitive permutation groups leaves us with three infinite families of groups which are neither $2$ -transitive, nor Frobenius, nor one-dimen…

math.GR2020★ 2 cited

Factoring nonabelian finite groups into two subsets

Ravil Bildanov, Vadim Goryachenko, Andrey Vasil'ev

A group $G$ is said to be factorized into subsets $A_{1}, A_{2}, \dots, A_{s} \subseteq G$ if every element $g$ in $G$ can be uniquely represented as $g = g_{1} g_{2} \dots g_{s}$ , where $g_i\in…

math.GR2019

The proper definition and Wielandt-Hartley's theorem for submaximal $X$ -subgroups

Danila Revin, Saveliy Skresanov, Andrey Vasil'ev

A nonempty class $X$ of finite groups is called complete if it is closed under taking subgroups, homomorphic images and extensions. We deal with a classical problem of d…

math.GR2018

The graph of atomic divisors and constructive recognition of finite simple groups

Alexander A. Buturlakin, Andrey V. Vasil'ev

The spectrum $ω (G)$ of a finite group $G$ is the set of orders of elements of $G$ . We present a polynomial-time algorithm that, given a finite set $M$ of positive integers…

A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers

Factoring nonabelian finite groups into two subsets

The proper definition and Wielandt-Hartley's theorem for submaximal X-subgroups

The graph of atomic divisors and constructive recognition of finite simple groups

The proper definition and Wielandt-Hartley's theorem for submaximal $X$ -subgroups