Add to ORKGFor an arbitrary group G it is possible to introduce the notion of gen-eralized supersolvably embedded normal subgroup of G. Related with this notion and with the notion of generalized hypercenter ofG, there are some results in the finite case. Asaad and Mohamed (Comm.Algebra, 2001) showed that in a finite group G the generalized supersolvably embedded normal subgroup of G coincides with the generalized hyper-center of G. Here is shown how this result can be extended to the infinite case
If {goth X} is a class of groups, a group $G$ is minimal non-{goth X} if it is not an {goth X}-group...
AbstractLet F be a class of groups. A chief factor H/K of a group G is called F-central in G provide...
If G is a group and if the upper hypercenter, Z, of G is such that G/Z is finite then a recent theor...
We show that if a group G has a finite normal subgroup L such that G/L is hypercentral, then the ind...
Finite solvable groups and normalizers of primary subgroups have been considered in the paper with t...
AbstractLet G be a finite group, X a class of groups. A chief factor H/K of G is called X-central pr...
AbstractA normal subgroup H of a finite group G is said to be hypercyclically embedded in G if every...
A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nea...
AbstractIn this paper, we introduce the concept of weakly s-supplemently embedded subgroup and chara...
AbstractThe Maier–Schmid theorem asserts that a core-free permutable subgroup of a finite group is c...
AbstractLet G be a finite group. We write R(G) to denote the largest soluble normal subgroup of G an...
Let $G$ be a group and $H$ be a subgroup of $G$. $H$ is said to be $\mathcal{M}$-normal supplemented...
The quasicenter Q(G) of a group G is the subgroup generated by the elements x of G such that the sub...
We introduce a local hypercenter of an arbitrary group and study its basic properties. With this con...
The Maier–Schmid theorem asserts that a core-free permutable subgroup of a finite group is contained...
If {goth X} is a class of groups, a group $G$ is minimal non-{goth X} if it is not an {goth X}-group...
AbstractLet F be a class of groups. A chief factor H/K of a group G is called F-central in G provide...
If G is a group and if the upper hypercenter, Z, of G is such that G/Z is finite then a recent theor...
We show that if a group G has a finite normal subgroup L such that G/L is hypercentral, then the ind...
Finite solvable groups and normalizers of primary subgroups have been considered in the paper with t...
AbstractLet G be a finite group, X a class of groups. A chief factor H/K of G is called X-central pr...
AbstractA normal subgroup H of a finite group G is said to be hypercyclically embedded in G if every...
A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nea...
AbstractIn this paper, we introduce the concept of weakly s-supplemently embedded subgroup and chara...
AbstractThe Maier–Schmid theorem asserts that a core-free permutable subgroup of a finite group is c...
AbstractLet G be a finite group. We write R(G) to denote the largest soluble normal subgroup of G an...
Let $G$ be a group and $H$ be a subgroup of $G$. $H$ is said to be $\mathcal{M}$-normal supplemented...
The quasicenter Q(G) of a group G is the subgroup generated by the elements x of G such that the sub...
We introduce a local hypercenter of an arbitrary group and study its basic properties. With this con...
The Maier–Schmid theorem asserts that a core-free permutable subgroup of a finite group is contained...
If {goth X} is a class of groups, a group $G$ is minimal non-{goth X} if it is not an {goth X}-group...
AbstractLet F be a class of groups. A chief factor H/K of a group G is called F-central in G provide...
If G is a group and if the upper hypercenter, Z, of G is such that G/Z is finite then a recent theor...