We prove that a minimal non-soluble ($MN\mathfrak{S}$ in short) Fitting $p$-group $G$ has a proper subgroup $K$ such that for every proper subgroup $R$ of $G$ containing $K$, we have $N_G(R) > R$. In other words, $G$ satisfies the normalizer condition modulo $K$. We also give a positive answer in McLain groups to a question aroused from the works on $MN\mathfrak{S}$ Fitting $p$-groups
We describe (generalized) soluble-by-finite groups in which the set of non-normal subgroups which ar...
summary:Let $G$ be a group with the property that there are no infinite descending chains of non-sub...
AbstractLet X,F,X⊆F, be non-trivial Fitting classes of finite soluble groups such that GX is an X-in...
This work continues the study of infinitely generated groups whose proper subgroups are solvable and...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is proved here tha...
A subgroup H of a group G is commensurable (or close) to a normal subgroup if there is a normal subg...
We study the class of groups having the property that every non-nilpotent subgroup is equal to its n...
A group G is said to be an MC-group if G/CG(< x>G) is a finite extension of a soluble minimax ...
We consider which groups G are nilpotent if they have a nilpotent normal subgroup N with G/N a restr...
In this paper, locally graded group satisfying the minimal condition on subgroups which are neither ...
We show that if all proper subgroups of a locally graded group G are finite-by-abelian-by-finite, th...
Abstract. This work is a continuation of [A. O. Asar, On innitely generated groups whose proper subg...
In this paper we investigate the class of finite soluble groups in which every subnormal subgroup ha...
AbstractIf H is a subgroup of a finite group G, by HG denote the normal closure of H in G. G is call...
We classity the finite soluble groups satisfying the following condition: if $H$ is a subgroup of $G...
We describe (generalized) soluble-by-finite groups in which the set of non-normal subgroups which ar...
summary:Let $G$ be a group with the property that there are no infinite descending chains of non-sub...
AbstractLet X,F,X⊆F, be non-trivial Fitting classes of finite soluble groups such that GX is an X-in...
This work continues the study of infinitely generated groups whose proper subgroups are solvable and...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is proved here tha...
A subgroup H of a group G is commensurable (or close) to a normal subgroup if there is a normal subg...
We study the class of groups having the property that every non-nilpotent subgroup is equal to its n...
A group G is said to be an MC-group if G/CG(< x>G) is a finite extension of a soluble minimax ...
We consider which groups G are nilpotent if they have a nilpotent normal subgroup N with G/N a restr...
In this paper, locally graded group satisfying the minimal condition on subgroups which are neither ...
We show that if all proper subgroups of a locally graded group G are finite-by-abelian-by-finite, th...
Abstract. This work is a continuation of [A. O. Asar, On innitely generated groups whose proper subg...
In this paper we investigate the class of finite soluble groups in which every subnormal subgroup ha...
AbstractIf H is a subgroup of a finite group G, by HG denote the normal closure of H in G. G is call...
We classity the finite soluble groups satisfying the following condition: if $H$ is a subgroup of $G...
We describe (generalized) soluble-by-finite groups in which the set of non-normal subgroups which ar...
summary:Let $G$ be a group with the property that there are no infinite descending chains of non-sub...
AbstractLet X,F,X⊆F, be non-trivial Fitting classes of finite soluble groups such that GX is an X-in...
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