Finite groups that are products of two normal supersoluble subgroups

Tang, Xingzheng; Ye, Yu; Guo, Wenbin

doi:10.1134/s003744661702015x

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction2

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Following Tang et al in [1], we denote by B 1 the class of groups which can be factorized as the product of two normal supersolvable subgroups. Additionally, we denote by B 2 the class of groups which can be factorized as the product of two subnormal supersolvable subgroups.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups

2022

Mathematics

View full text Add to dashboard Cite

Let G be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. The following are interesting topics in the study of the structure of G: obtaining the conditions in addition to guarantee that G is supersolvable and giving the detailed structure of G when G is non-supersolvable. In this paper, we obtain a characteristic property of G being non-supersolvable and two new sufficient conditions for G being a supersolvable group.

show abstract

Section: Introductionmentioning

confidence: 99%

“…For example, Guo and Kondratl'ev described the structure of the minimal non-supersolvable groups in B 1 ([9]). In [1], Tang Ye and Guo described the structure of non-supersolvable groups in B 1 whose proper B 1 -subgroups and proper B 1 -factor groups are supersolvable.…”

Section: Introductionmentioning

confidence: 99%