114 citations · 528 across the 23 of their papers we have counts for
24 papers
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…
The -closure of a solvable permutation group is solvable
E. A. O'Brien, I. Ponomarenko, A. V. Vasil'ev +1
Let be a positive integer and let be a finite set. The -closure of is the largest permutation group on having the same orbits as in…
Baer--Suzuki theorem for the -radical
Nanying Yang, Danila O. Revin, Evgeny P. Vdovin
In the paper we prove (modulo the classification of finite simple groups) an analogue of the famous Baer-Suzuki theorem for the -radical of a finite group, where is a set of…
The Hall property is inherited by overgroups of -Hall subgroups
Nomina Ch. Manzaeva, Danila O. Revin, Evgeny P. Vdovin
Let be a set of primes. We say that a finite group is a -group if the maximal -subgroups of are conjugate. In this paper, we give an affirmative answe…
The reduction theorem for relatively maximal subgroups
Wenbin Guo, Danila O. Revin, Evgeny P. Vdovin
Let be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if is a normal subgroup of a finite group …
On Shalev's conjecture for type and
Alexey Galt, Amit Kulshrestha, Anupam Singh +1
In the paper we consider images of finite simple projective special linear and unitary groups under power words. In particular, we show that if $G\simeq \PSL_n^\varepsilon (q)$, th…