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Capable groups of prime exponent and class 2, II

Arturo Magidin

math.GRarXiv:math/0506578

Abstract

We consider the capability of p groups of class two and odd prime exponent. We use linear algebra and counting arguments to establish a number of new results. In particular, we settle the 4-generator case, and prove a sufficient condition based on the ranks of G/Z(G) and [G,G].

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