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Factoring by hereditary periodicity forcing subsets.

Factoring by hereditary periodicity forcing subsets.

Authors :
CORRÁDI, K.
SZABÓ, S.
Source :
Acta Mathematica Hungarica. Oct2009, Vol. 125 Issue 1/2, p131-140. 10p.
Publication Year :
2009

Abstract

If a finite abelian group is factored into a direct product of its cyclic subsets, then at least one of the factors is periodic. This is a famous result of G. Hajós. We propose to replace the cyclicity of the factors by an abstract property that still guarantees that one of the factors is periodic. Then we present applications of this approach. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02365294
Volume :
125
Issue :
1/2
Database :
Academic Search Index
Journal :
Acta Mathematica Hungarica
Publication Type :
Academic Journal
Accession number :
45086488
Full Text :
https://doi.org/10.1007/s10474-009-8241-8