A nonembedding theorem for finite groups
Author: Ernest L. Stitzinger
Journal: Proc. Amer. Math. Soc. 25 (1970), 124-126
MSC: Primary 20.25
Erratum: Proc. Amer. Math. Soc. 34 (1972), 631.
MathSciNet review: 0258936
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Abstract: Let be the class of nilpotent groups with the following properties: (1) The center of is of prime order. (2) There exists an abelian characteristic subgroup of such that where is the second term in the upper central series of . The main result shown is the following: , then cannot be an invariant subgroup contained in the Frattini subgroup of a finite group.
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