Mathematics – Group Theory
Scientific paper
2005-06-28
Mathematics
Group Theory
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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