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

Corrádi, 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 -