Add to ORKGIt is shown that: the index of the second center of a finitely generated soluble group $G$ is finite, if and only if $G$ satisfies in a certain finiteness condition on infinite subsets DOI: 10.1017/S000497271200048
Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first G...
A subgroup H of a group G is called inert if, for each g ∈ G, the index of H ∩ H^g in H is finite....
AbstractWe prove that if a finite soluble group G can be generated by s subgroups with pairwise copr...
It is shown that: the index of the second center of a finitely generated soluble group $G$ is finit...
This article is a survey of the author’s work on generation theorems for finite groups. The starting...
We will prove the following result. Theorem Let G be a finite group in which every two elements gene...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We characterise groups in which every abelian subgroup has finite index in its characteristic closur...
AbstractThe study of localizations of groups has concentrated on group theoretic properties which ar...
In [1] we obtained a short proof of the theorem of Thompson that a finite group is soluble if and on...
A famous theorem of Schur states that for a group G finiteness of G/Z(G) implies the finiteness of G...
Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov centralizer. It is prov...
In this paper some new conditions are given under which a finite group is soluble.</p
We classity the finite soluble groups satisfying the following condition: if $H$ is a subgroup of $G...
AbstractLet n be a positive integer. We say that a group G satisfies the condition E(n), if every se...
Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first G...
A subgroup H of a group G is called inert if, for each g ∈ G, the index of H ∩ H^g in H is finite....
AbstractWe prove that if a finite soluble group G can be generated by s subgroups with pairwise copr...
It is shown that: the index of the second center of a finitely generated soluble group $G$ is finit...
This article is a survey of the author’s work on generation theorems for finite groups. The starting...
We will prove the following result. Theorem Let G be a finite group in which every two elements gene...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We characterise groups in which every abelian subgroup has finite index in its characteristic closur...
AbstractThe study of localizations of groups has concentrated on group theoretic properties which ar...
In [1] we obtained a short proof of the theorem of Thompson that a finite group is soluble if and on...
A famous theorem of Schur states that for a group G finiteness of G/Z(G) implies the finiteness of G...
Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov centralizer. It is prov...
In this paper some new conditions are given under which a finite group is soluble.</p
We classity the finite soluble groups satisfying the following condition: if $H$ is a subgroup of $G...
AbstractLet n be a positive integer. We say that a group G satisfies the condition E(n), if every se...
Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first G...
A subgroup H of a group G is called inert if, for each g ∈ G, the index of H ∩ H^g in H is finite....
AbstractWe prove that if a finite soluble group G can be generated by s subgroups with pairwise copr...