A. Vasil’ev

activity

20182021

most citedFactoring nonabelian finite groups into two subsets

2 citations · 2 across the 3 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

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…

math.GR2018

$2$ -Closure of $\frac{3}{2}$ -transitive group in polynomial time

Andrey V. Vasil'ev, Dmitry Churikov

Let $G$ be a permutation group on a finite set $Ω$ . The $k$ -closure $G^{(k)}$ of the group $G$ is the largest subgroup of $Sym (Ω)$ having the same orbits as $G$ on t…

math.GR2018

What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?

Elena K. Brusyanskaya, Anton A. Klyachko, Andrey V. Vasil'ev

Our result contains as special cases the Frobenius theorem (1895) on the number of solutions to the equation $x^{n} = 1$ in a group, the Solomon theorem (1969) on the number of solutio…

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

2-Closure of 23​-transitive group in polynomial time

What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?

$2$ -Closure of $\frac{3}{2}$ -transitive group in polynomial time