T. I. Vasil’eva
Highly Influential Citations1
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A subgroup H of a group G is said to be K-ℙ-subnormal in G if H can be joined to the group by a chain of subgroups each of which is either normal in the next subgroup or of prime index in it.… Continue Reading
OBJECTIVE The aim of this study is to analyze the efficacy of colposcopic-guided laser-skinning colpectomy to treat extended high-grade vaginal intraepithelial neoplasia (VaIN). METHODS… Continue Reading
Given a hereditary saturated formation F of soluble groups, we study finite groups with three F-subgroups of coprime indices. We obtain the new criteria for these groups to lie in the Shemetkov… Continue Reading
The permutizer of a subgroup H in a group G is defined as the subgroup generated by all cyclic subgroups of G that permute with H. Call H permuteral in G if the permutizer of H in G coincides with G;… Continue Reading
We study the properties of finite groups in which every Sylow subgroup can be connected to the group by a chain of subgroups of prime indices. We establish the solubility of this type of groups. We… Continue Reading
A class of groups F is called MP-closed, if it contains every group G = AB such that the F-subgroup A permutes with every subgroup of B and the F-subgroup B permutes with every subgroup of A. We… Continue Reading
UDC 512.542 Abstract: A subgroup H of a finite group G is called P-subnormal in G whenever H either coincides with G or is connected to G by a chain of subgroups of prime indices. If every Sylow… Continue Reading
A group is c-supersoluble if all its chief factors are isomorphic to simple groups. We introduce the notion of widely c-supersoluble group, which generalizes c-supersolubility. We obtain the… Continue Reading
Finite groups with given systems of permuteral and strongly permuteral subgroups are studied. New characterizations of w-supersoluble and supersoluble groups are received.