Capable groups of prime exponent and class 2, II

Mathematics – Group Theory

Scientific paper

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30 pp

Scientific paper

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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