# A Hajós type result on factoring finite abelian groups by subsets. II

Keresztély Corrádi; Sándor Szabó

Commentationes Mathematicae Universitatis Carolinae (2010)

- Volume: 51, Issue: 1, page 1-8
- ISSN: 0010-2628

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topCorrádi, Keresztély, and Szabó, Sándor. "A Hajós type result on factoring finite abelian groups by subsets. II." Commentationes Mathematicae Universitatis Carolinae 51.1 (2010): 1-8. <http://eudml.org/doc/37740>.

@article{Corrádi2010,

abstract = {It is proved that if a finite abelian group is factored into a direct product of lacunary cyclic subsets, then at least one of the factors must be periodic. This result generalizes Hajós's factorization theorem.},

author = {Corrádi, Keresztély, Szabó, Sándor},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {factorization of finite abelian groups; periodic subset; cyclic subset; Hajós's theorem; factorizations of finite Abelian groups; periodic subsets; cyclic subsets; lacunary subsets; Hajós theorem},

language = {eng},

number = {1},

pages = {1-8},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A Hajós type result on factoring finite abelian groups by subsets. II},

url = {http://eudml.org/doc/37740},

volume = {51},

year = {2010},

}

TY - JOUR

AU - Corrádi, Keresztély

AU - Szabó, Sándor

TI - A Hajós type result on factoring finite abelian groups by subsets. II

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2010

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 51

IS - 1

SP - 1

EP - 8

AB - It is proved that if a finite abelian group is factored into a direct product of lacunary cyclic subsets, then at least one of the factors must be periodic. This result generalizes Hajós's factorization theorem.

LA - eng

KW - factorization of finite abelian groups; periodic subset; cyclic subset; Hajós's theorem; factorizations of finite Abelian groups; periodic subsets; cyclic subsets; lacunary subsets; Hajós theorem

UR - http://eudml.org/doc/37740

ER -

## References

top- Corrádi K., Szabó S., A Hajós type result on factoring finite abelian groups by subsets, Math. Pannon. 5 (1994), 275–280. MR1304856
- Hajós G., 10.1007/BF01180974, Math. Z. 47 (1942), 427–467. MR0006425DOI10.1007/BF01180974
- Sands A.D., A note on distorted cyclic subsets, Math. Pannon. 20 (2009), 123–127. MR2517716

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