Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A bound for the derived and Frattini subgroups of a prime-power group

Author(s): Graham Ellis
Journal: Proc. Amer. Math. Soc. 126 (1998), 2513-2523.
MSC (1991): Primary 20J05
MathSciNet review: 1459119
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Abstract: This paper is based on the seemingly new observation that the Schur multiplier of a -generator group of prime-power order has order $|M(G)|\le p^{d(2n-d-1)/2}$ . We prove several related results, including sufficient conditions for a sharper bound on to be an equality.

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