Prime injections and quasipolarities

Octavio Alberto Agustín-Aquino

Let $p$ be a prime number. Consider the injection \[ ι:\mathbb{Z}/n\mathbb{Z}\to\mathbb{Z}/pn\mathbb{Z}:x\mapsto px, \] and the elements $e^{u}.v:=(u,v)\in \mathbb{Z}/n\mathbb{Z}\r…