V. I. Zenkov

collaborators

2 papers

math.GR2021

Intersection of Solvable Hall subgroups in finite groups

Anton A. Baykalov, Evgeny P. Vdovin, Victor I. Zenkov

In this paper we show that if S is a simple classical group, a group G is contained in inner-diagonal automorphisms of S and contains S, and H is a solvable Hall subgroup of G, the…

math.GR2008

On the intersections of solvable Hall subgroups in finite groups

E. P. Vdovin, V. I. Zenkov

In the paper we consider the following conjecture: if a finite group $G$ possesses a solvable $π$ -Hall subgroup $H$ , then there exist elements $x, y, z, t \in G$ such that the identity…