Factoring by hereditary periodicity forcing subsets

K. Corrádi; S. Szabó

doi:10.1007/s10474-009-8241-8

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Acta Mathematica Hungarica

Volume/Issue:: Volume 125: Issue 1-2

Factoring by hereditary periodicity forcing subsets

Authors:

K. Corrádi

K. Corrádi Eötvös L. University Department of General Computer Technics Pázmány P. sétány 1/c H-1117 Budapest Hungary

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and

S. Szabó

S. Szabó University of Pécs Institute of Mathematics and Informatics Ifjúság u. 6 7624 Pécs Hungary

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Pages:: 131–140

Online Publication Date:: 06 Jul 2009

Publication Date:: 01 Oct 2009

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10474-009-8241-8

Keywords:: factorization of finite abelian groups; periodic factorization; full-rank factorization; Hajós-Rédei theory; primary 20K01; secondary 05B45, 52C22, 68R05

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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.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)