It is shown that if G is a hypercentral group with all subgroups subnormal, and if the torsion subgroup of G is a pi-group for some finite set pi of primes, then G is nilpotent. In the case where G is not hypercentral there is a section of G that is much like one of the well-known Heineken-Mohamed groups. It is also shown that if G is a residually nilpotent group with all subgroups subnormal whose torsion subgroup satisfies the above condition then G is nilpotent
Bu tezde Howard SMITH'in Groups with all non-nilpotent subgroups subnormal'' adlı makalesi çalışılm...
ABSTRACT: In this paper we continue the study of finite p'-nilpotent groups that was started in...
Abstract. We characterize the groups which do not have non-trivial per-fect sections and such that a...
AbstractIt is shown that if G is a group with all subgroups subnormal, and if the torsion subgroup o...
summary:Let $G$ be a finite group. We prove that if every self-centralizing subgroup of $G$ is nilpo...
AbstractIt is shown that if G is a group with all subgroups subnormal, and if the torsion subgroup o...
summary:Let $G$ be a finite group. We prove that if every self-centralizing subgroup of $G$ is nilpo...
The authors continue their investigation of $S$-groups, i.e. the groups $G$, in which every subgroup...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
In this paper we study groups in which every subgroup is subnormal of defect at most 3. Let G be a g...
Abstract:We prove that a torsion group G with all subgroups subnormal is a nilpotent group or G = N(...
AbstractWe prove that a periodic residually nilpotent group G all of whose closed subgroups are subn...
AbstractLet C be a class of groups, closed under taking subgroups and quotients. We prove that if al...
A subgroup $H$ of a group $G$ is called $f$-subnormal in $G$, if there is a finite sequence $H=H_0\l...
Let G be a group. The orbits of the natural action of Aut(G) on G are called automorphism orbits of ...
Bu tezde Howard SMITH'in Groups with all non-nilpotent subgroups subnormal'' adlı makalesi çalışılm...
ABSTRACT: In this paper we continue the study of finite p'-nilpotent groups that was started in...
Abstract. We characterize the groups which do not have non-trivial per-fect sections and such that a...
AbstractIt is shown that if G is a group with all subgroups subnormal, and if the torsion subgroup o...
summary:Let $G$ be a finite group. We prove that if every self-centralizing subgroup of $G$ is nilpo...
AbstractIt is shown that if G is a group with all subgroups subnormal, and if the torsion subgroup o...
summary:Let $G$ be a finite group. We prove that if every self-centralizing subgroup of $G$ is nilpo...
The authors continue their investigation of $S$-groups, i.e. the groups $G$, in which every subgroup...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
In this paper we study groups in which every subgroup is subnormal of defect at most 3. Let G be a g...
Abstract:We prove that a torsion group G with all subgroups subnormal is a nilpotent group or G = N(...
AbstractWe prove that a periodic residually nilpotent group G all of whose closed subgroups are subn...
AbstractLet C be a class of groups, closed under taking subgroups and quotients. We prove that if al...
A subgroup $H$ of a group $G$ is called $f$-subnormal in $G$, if there is a finite sequence $H=H_0\l...
Let G be a group. The orbits of the natural action of Aut(G) on G are called automorphism orbits of ...
Bu tezde Howard SMITH'in Groups with all non-nilpotent subgroups subnormal'' adlı makalesi çalışılm...
ABSTRACT: In this paper we continue the study of finite p'-nilpotent groups that was started in...
Abstract. We characterize the groups which do not have non-trivial per-fect sections and such that a...