Normal subgroups contained in Frattini subgroups are Frattini subgroups
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- by R. B. J. T. Allenby PDF
- Proc. Amer. Math. Soc. 78 (1980), 315-318 Request permission
Abstract:
We prove that if N is a normal subgroup of the finite group G and if $N \subseteq \Phi (G)$, then there exists a finite group U such that $N = \Phi (U)$ exactly. In particular, we see that the generalizations apparent in the conclusions of several recently stated theorems are illusory.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 315-318
- MSC: Primary 20D25
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553365-1
- MathSciNet review: 553365