Simple proofs of some generalizations of the Wilson's theorem

In this paper a remarkable simple proof of the Gauss's generalization of the Wilson's theorem is given. The proof is based on properties of a subgroup generated by element of order 2 of a finite abelian group. Some conditions equivalent to the cyclicity of (Phi, •n), where n>=2, is a...

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Bibliographic Details
Main Authors: Jan Górowski, Adam Łomnicki
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2014-04-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/143