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Factoring by hereditary periodicity forcing subsets.
Factoring by hereditary periodicity forcing subsets.
- 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]
- Subjects :
- *ABELIAN groups
*GROUP theory
*FINITE groups
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
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