Journal ArticleDOI
Groups with maximal subgroups of Sylow subgroups normal
Reads0
Chats0
TLDR
The authors characterizes finite groups with the property that maximal subgroups of Sylow subgroups are normal, i.e., they are all certain extensions of nilpotent groups by cyclic groups.Abstract:
This paper characterizes those finite groups with the property that maximal subgroups of Sylow subgroups are normal. They are all certain extensions of nilpotent groups by cyclic groups.read more
Citations
More filters
Journal ArticleDOI
The influence of SS-quasinormality of some subgroups on the structure of finite groups☆
TL;DR: In this paper, a subgroup H of a group G is said to be SS-quasinormal if H possesses a supplement B such that H permutes with every Sylow subgroup of B.
Journal ArticleDOI
On p-nilpotency of finite groups with some subgroups π-quasinormally embedded
TL;DR: The p-nilpotentcy of finite groups with the assumption that some maximal subgroups, 2-maximal sub groups, minimal subgroups and 2-minimal subgroups are π-quasinormally embedded is characterized in this paper.
Journal ArticleDOI
G-Covering Systems of Subgroups for Classes of p-Supersoluble and p-Nilpotent Finite Groups
TL;DR: In this paper, the authors consider the problem of finding a G-covering system of subgroups for finite soluble groups in the class of p-supersoluble and p-nilpotent groups.
Journal ArticleDOI
Groups with maximal subgroups of Sylow subgroups σ-permutably embedded
Wenbin Guo,Alexander N. Skiba +1 more
TL;DR: In this paper, the authors classify the finite groups G such that either every maximal subgroup of every Sylow subgroup is σ-permutable in G or every maximal subset of all Sylow subsets of G is a complete Hall σ set of subgroups of G.
Journal ArticleDOI
z-permutable subgroups and p-nilpotency of finite groups
TL;DR: In this paper, the p-nilpotency of finite groups with assumption that some maximal subgroups or some 2-maximal subgroups of Sylow subgroups are Z-permutable is characterized.
References
More filters
Journal ArticleDOI
Two sufficient conditions for supersolvability of finite groups
TL;DR: In this paper, sufficient conditions for supersolvability of finite groups are given considering the maximal subgroups of Sylow subgroups, and an example is given to show that the conditions given are not necessary or sufficient.