Prime injections and quasipolarities

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

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Bibliographic Details
Main Author: Octavio Alberto Agustín-Aquino
Format: Article
Language:English
Published: Università degli Studi di Catania 2014-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1011