AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup of P∩Op(G) is permutable in P and NG(P) is p-nilpotent, and when p=2 either [Ω2(P∩Op(G)),P]⩽Ω1(P∩Op(G)) or P is quaternion-free, where p is a prime dividing the order of G and P is a Sylow p-subgroup of G. By using this result, we may get a series of corollaries for p-nilpotence, which contain some known results. Some other applications of this result are also given
AbstractAn extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sy...
AbstractIn this note, we first give some examples to show that some hypotheses of some well-known re...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup o...
AbstractAll groups considered in this paper will be finite. A 2-group is called quaternion-free if i...
summary:For a finite group $G$ and a fixed Sylow $p$-subgroup $P$ of $G$, Ballester-Bolinches and Gu...
summary:For a finite group $G$ and a fixed Sylow $p$-subgroup $P$ of $G$, Ballester-Bolinches and Gu...
Let G be a finite group and let p be prime dividing . In this article, we supply some sufficient con...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
ABSTRACT: In this paper we continue the study of finite p'-nilpotent groups that was started in...
An extension of the well-known Frobenius¿ criterion of p-nilpotence in groups with modular Sylow p-s...
In this paper we continue the study of finite p′-nilpotent groups that was started in the first part...
In this paper, we generalize the main results of Guo and Isaacs, Archiv der Mathematik 105 (2015) 21...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
A natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-subgroup...
AbstractAn extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sy...
AbstractIn this note, we first give some examples to show that some hypotheses of some well-known re...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup o...
AbstractAll groups considered in this paper will be finite. A 2-group is called quaternion-free if i...
summary:For a finite group $G$ and a fixed Sylow $p$-subgroup $P$ of $G$, Ballester-Bolinches and Gu...
summary:For a finite group $G$ and a fixed Sylow $p$-subgroup $P$ of $G$, Ballester-Bolinches and Gu...
Let G be a finite group and let p be prime dividing . In this article, we supply some sufficient con...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
ABSTRACT: In this paper we continue the study of finite p'-nilpotent groups that was started in...
An extension of the well-known Frobenius¿ criterion of p-nilpotence in groups with modular Sylow p-s...
In this paper we continue the study of finite p′-nilpotent groups that was started in the first part...
In this paper, we generalize the main results of Guo and Isaacs, Archiv der Mathematik 105 (2015) 21...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
A natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-subgroup...
AbstractAn extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sy...
AbstractIn this note, we first give some examples to show that some hypotheses of some well-known re...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
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