Factoring an odd abelian group by lacunary cyclic subsets

Sándor Szabó. "Factoring an odd abelian group by lacunary cyclic subsets." Discussiones Mathematicae - General Algebra and Applications 30.2 (2010): 137-146. <http://eudml.org/doc/276458>.

@article{SándorSzabó2010,
abstract = {It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.},
author = {Sándor Szabó},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {factorization of finite abelian groups; periodic subsets; cyclic subsets; lacunary cyclic subsets; Hajós-Rédei theory; factorizations of finite Abelian groups},
language = {eng},
number = {2},
pages = {137-146},
title = {Factoring an odd abelian group by lacunary cyclic subsets},
url = {http://eudml.org/doc/276458},
volume = {30},
year = {2010},
}

TY - JOUR
AU - Sándor Szabó
TI - Factoring an odd abelian group by lacunary cyclic subsets
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2010
VL - 30
IS - 2
SP - 137
EP - 146
AB - It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.
LA - eng
KW - factorization of finite abelian groups; periodic subsets; cyclic subsets; lacunary cyclic subsets; Hajós-Rédei theory; factorizations of finite Abelian groups
UR - http://eudml.org/doc/276458
ER -