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CONSTRUCTIONS RELATED TO THE RÉDEI PROPERTY OF GROUPS

Published online by Cambridge University Press:  16 June 2006

SÁNDOR SZABÓ
SÁNDOR SZABÓ
Affiliation:
Institute of Mathematics and Informatics, University of Pécs, Ifjúság u. 6, H-7624 Pécs, [email protected]
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Abstract

We say that a finite abelian group does not have the Rédei property if it can be expressed as a direct product of two of its subsets such that both subsets contain the identity element and both subsets span the whole group. It will be shown that only a small fraction of the finite abelian groups can have the Rédei property. For groups of odd order an explicit list of the possible exceptions is compiled.

Keywords

20K01 (primary)20D60 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 3 , June 2006 , pp. 701 - 715
Copyright
The London Mathematical Society 2006

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