This paper investigates finite p-groups, p ≥ 5, in which every cyclic subgroup has defect at most two. This class of groups is often denoted by U2,1. The main result is a theorem which characterises these groups by identifying a family of groups in U2,
Abstract. We shall determine the title groups G up to isomorphism. This solves the problem Nr.861 fo...
If G=AX is a finite p-group, with A an abelian quasinormal subgroup and X a cyclic subgroup, then we...
In this paper we study groups in which every subgroup is subnormal of defect at most 3. Let G be a g...
In this paper we continue the investigation originally initiated by Hobby on the three classes of fi...
AbstractIn this paper, we study the finite 2-group G such that |〈a〉G:〈a〉|⩽22 for every a∈G. We prove...
In this note we describe the finite groups G having |G| − 2 cyclic subgroups. This partially solves ...
Abstract. In this paper we show that a finite p-group which possesses non-normal subgroups and such ...
If G is a group with subgroup H and n, m are two fixed non-negative integers, we say that H is (n, m...
In this paper, we will determine the existence of blocks with submaximal subgroups of Sylow p-subgro...
For a given prime p, we investigate the finite groups whose every 2-minimal p-subgroup is complement...
Abstract. We determine completely the structure of finite 2-groups which possess exactly six cyclic ...
Finite groups in which each cyclic subnormal subgroup is semipermutable, S-semipermutable or seminor...
A group in which all cyclic subgroups are 2-subnormal is called a 2-Baer group. The topic of this pa...
In this paper we continue the study of finite p′-nilpotent groups that was started in the first part...
In this paper, the finitely generated periodic groups with all infinite subgroups subnormal are char...
Abstract. We shall determine the title groups G up to isomorphism. This solves the problem Nr.861 fo...
If G=AX is a finite p-group, with A an abelian quasinormal subgroup and X a cyclic subgroup, then we...
In this paper we study groups in which every subgroup is subnormal of defect at most 3. Let G be a g...
In this paper we continue the investigation originally initiated by Hobby on the three classes of fi...
AbstractIn this paper, we study the finite 2-group G such that |〈a〉G:〈a〉|⩽22 for every a∈G. We prove...
In this note we describe the finite groups G having |G| − 2 cyclic subgroups. This partially solves ...
Abstract. In this paper we show that a finite p-group which possesses non-normal subgroups and such ...
If G is a group with subgroup H and n, m are two fixed non-negative integers, we say that H is (n, m...
In this paper, we will determine the existence of blocks with submaximal subgroups of Sylow p-subgro...
For a given prime p, we investigate the finite groups whose every 2-minimal p-subgroup is complement...
Abstract. We determine completely the structure of finite 2-groups which possess exactly six cyclic ...
Finite groups in which each cyclic subnormal subgroup is semipermutable, S-semipermutable or seminor...
A group in which all cyclic subgroups are 2-subnormal is called a 2-Baer group. The topic of this pa...
In this paper we continue the study of finite p′-nilpotent groups that was started in the first part...
In this paper, the finitely generated periodic groups with all infinite subgroups subnormal are char...
Abstract. We shall determine the title groups G up to isomorphism. This solves the problem Nr.861 fo...
If G=AX is a finite p-group, with A an abelian quasinormal subgroup and X a cyclic subgroup, then we...
In this paper we study groups in which every subgroup is subnormal of defect at most 3. Let G be a g...
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