A bound for the derived and Frattini subgroups of a prime-power group
Ellis, Graham
Ellis, Graham
Publication Date
1998-09-01
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journal article
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Ellis, Graham (1998). A bound for the derived and Frattini subgroups of a prime-power group. Proceedings of the American Mathematical Society 126 (9), 2513-2523
Abstract
This paper is based on the seemingly new observation that the Schur multiplier M(G) of a d-generator group of prime-power order pn has order \M(G)\ less than or equal to p(d(2n-d-1)/2). We prove several related results, including sufficient conditions for a sharper bound on \M(G)\ to be an equality.
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American Mathematical Society (AMS)