Frattini embeddings of normal subgroups
HTML articles powered by AMS MathViewer
- by C. R. B. Wright PDF
- Proc. Amer. Math. Soc. 78 (1980), 319-320 Request permission
Abstract:
If N is a normal subgroup of the finite group G, there is a split extension X of an elementary abelian group by G such that $N \trianglelefteq X$ and $N \cap \Phi (G) = \Phi (X)$.References
- R. B. J. T. Allenby, Normal subgroups contained in Frattini subgroups are Frattini subgroups, Proc. Amer. Math. Soc. 78 (1980), no. 3, 315–318. MR 553365, DOI 10.1090/S0002-9939-1980-0553365-1
- W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0167513
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 319-320
- MSC: Primary 20D25
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553366-3
- MathSciNet review: 553366