Frattini embeddings of normal subgroups
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 and .
-  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, https://doi.org/10.1090/S0002-9939-1980-0553365-1
-  W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0167513
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