Groups with the Rédei property

<p>Let <em>G</em> be a finite abelian group of type (4, 4, 2) or<em> ( p^2 , p)</em>, where <em>p</em> is a prime. Assume that <em>AB</em> is a direct product giving <em>G</em>, where<em> A</em> and<em> B</em>...

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Bibliographic Details
Main Author: Sándor Szabó
Format: Article
Language:English
Published: Università degli Studi di Catania 1997-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/414
Description
Summary:<p>Let <em>G</em> be a finite abelian group of type (4, 4, 2) or<em> ( p^2 , p)</em>, where <em>p</em> is a prime. Assume that <em>AB</em> is a direct product giving <em>G</em>, where<em> A</em> and<em> B</em> are subsets of<em> G</em> both containing the identity element of <em>G</em>. Then<em> A</em> or <em>B</em> lies in a proper subgroup of <em>G</em>.</p>
ISSN:0373-3505
2037-5298