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SΦ-supplemented subgroups of finite groups.
- Source :
-
Ukrainian Mathematical Journal . Jun2012, Vol. 64 Issue 1, p102-109. 8p. - Publication Year :
- 2012
-
Abstract
- We call H an SΦ-supplemented subgroup of a finite group G if there exists a subnormal subgroup T of G such that G = HT and H ∩ T ≤ Φ( H), where Φ( H) is the Frattini subgroup of H. In this paper, we characterize the p-nilpotency and supersolubility of a finite group G under the assumption that every subgroup of a Sylow p-subgroup of G with given order is SΦ-supplemented in G: Some results about formations are also obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00415995
- Volume :
- 64
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Ukrainian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 78656506
- Full Text :
- https://doi.org/10.1007/s11253-012-0632-2