2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75606We 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 $[G,G]$.30 ppGroup Theory20D15 (primary); 20F12, 15A04 (secondary)text