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On NH-embedded subgroups of finite groups.
- Source :
-
Journal of Algebra & Its Applications . Oct2022, Vol. 21 Issue 10, p1-11. 11p. - Publication Year :
- 2022
-
Abstract
- Let G be a finite group and H a subgroup of G. H is said to be N H -embedded in G if there exists a normal subgroup T of G such that H T is a Hall subgroup of G and H ∩ T ≤ H s ̄ G , where H s ̄ G is the largest s -semipermutable subgroup of G contained in H. In this paper, we give some new characterizations of p -nilpotent and supersolvable groups by using N H -embedded subgroups. Some known results are generalized. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE groups
*SYLOW subgroups
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 21
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 158906806
- Full Text :
- https://doi.org/10.1142/S0219498822502000