71 citations · 213 across the 32 of their papers we have counts for
4 papers · 1 filter
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…
Finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal
A. S. Kondrat'ev, N. V. Maslova, D. O. Revin
A subgroup of a group is said to be pronormal in if and are conjugate in for every . In this paper we classify finite simple…
The proper definition and Wielandt-Hartley's theorem for submaximal -subgroups
Danila Revin, Saveliy Skresanov, Andrey Vasil'ev
A nonempty class 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…
On the behavior of -submaximal subgroups under homomorphisms
Danila O. Revin, Andrei V. Zavarnitsine
We construct examples that show the difference in behavior or -maximal and -submaximal subgroups under group homomorphisms.