scholarly journals On Mp-embedded primary subgroups of finite groups

2016 ◽  
Vol 53 (4) ◽  
pp. 429-439
Author(s):  
Jia Zhang ◽  
Long Miao
Keyword(s):  
Finite Groups ◽  
Nilpotent Subgroup ◽  
Primary Subgroups

A subgroup H of G is called Mp-embedded in G, if there exists a p-nilpotent subgroup B of G such that Hp ∈ Sylp(B) and B is Mp-supplemented in G. In this paper, we use Mp-embedded subgroups to study the structure of finite groups.

Finite groups with σ-Frobenius condition for non-normal σ-primary subgroups

2019 ◽  
Vol 19 (03) ◽  
pp. 2050047
Author(s):  
Bin Hu ◽  
Jianhong Huang ◽  
Alexander N. Skiba
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Primary Subgroup ◽  
Group A ◽  
A Finite Group ◽  
Primary Subgroups ◽  
Normal Formula

Let [Formula: see text] be a partition of the set [Formula: see text] of all primes and [Formula: see text] a finite group. A group is said to be [Formula: see text]-primary if it is a finite [Formula: see text]-group for some [Formula: see text]. We say that a [Formula: see text]-subgroup [Formula: see text] of [Formula: see text] satisfies the [Formula: see text]-Frobenius condition in [Formula: see text] if [Formula: see text] is a [Formula: see text]-group. In this paper, we determine the structure of finite groups in which every non-normal [Formula: see text]-primary subgroup satisfies the [Formula: see text]-Frobenius condition.

On nearly M-supplemented primary subgroups of finite groups

2019 ◽  
Vol 47 (2) ◽  
pp. 896-903
Author(s):  
Jia Zhang ◽  
Long Miao ◽  
Hongwei Bao
Keyword(s):  
Finite Groups ◽  
Primary Subgroups

Finite groups, whose primary subgroups are either F-subnormal or F-abnormal

2011 ◽  
Vol 55 (8) ◽  
pp. 38-46 ◽  
Author(s):  
V. N. Semenchuk ◽  
S. N. Shevchuk
Keyword(s):  
Finite Groups ◽  
Primary Subgroups

Finite groups with abnormal or formational subnormal primary subgroups

2019 ◽  
Vol 47 (10) ◽  
pp. 3941-3949 ◽  
Author(s):  
Victor S. Monakhov ◽  
Irina L. Sokhor
Keyword(s):  
Finite Groups ◽  
Primary Subgroups

On semi-σ-nilpotent finite groups

2019 ◽  
Vol 18 (10) ◽  
pp. 1950200
Author(s):  
Chi Zhang ◽  
Alexander N. Skiba
Keyword(s):  
Finite Group ◽  
Semidirect Product ◽  
Finite Groups ◽  
Nilpotent Groups ◽  
Product Formula ◽  
Nilpotent Subgroup ◽  
Chief Factor ◽  
Group A ◽  
A Finite Group

Let [Formula: see text] be a partition of the set [Formula: see text] of all primes and [Formula: see text] a finite group. A chief factor [Formula: see text] of [Formula: see text] is said to be [Formula: see text]-central if the semidirect product [Formula: see text] is a [Formula: see text]-group for some [Formula: see text]. [Formula: see text] is called [Formula: see text]-nilpotent if every chief factor of [Formula: see text] is [Formula: see text]-central. We say that [Formula: see text] is semi-[Formula: see text]-nilpotent (respectively, weakly semi-[Formula: see text]-nilpotent) if the normalizer [Formula: see text] of every non-normal (respectively, every non-subnormal) [Formula: see text]-nilpotent subgroup [Formula: see text] of [Formula: see text] is [Formula: see text]-nilpotent. In this paper we determine the structure of finite semi-[Formula: see text]-nilpotent and weakly semi-[Formula: see text]-nilpotent groups.

Sign in / Sign up

Export Citation Format

Share Document