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- Title
Finite groups with only š-normal and š-abnormal subgroups.
- Authors
Hu, Bin; Huang, Jianhong; Skiba, Alexander N.
- Abstract
Let G be a finite group, and let š be a class of groups. A chief factor H/K of G is said to be š-central (in G) if the semidirect product (H/K) ā (G/CGā¢ (H/K)) ā š. We say that a subgroup A of G is š-normal in G if every chief factor H/K of G between AG and AG is š-central in G and š-abnormal in G if V is not š-normal in W for every two subgroups V < W of G such that A ā¤ V. We give a description of finite groups in which every subgroup is either š-normal or š-abnormal.
- Subjects
FINITE groups; MANUFACTURED products
- Publication
Journal of Group Theory, 2019, Vol 22, Issue 5, p915
- ISSN
1433-5883
- Publication type
Article
- DOI
10.1515/jgth-2018-0199