A generalized form of hajós' theorem
作者:
Keresztély Corrádi,
Sándor Szadó,
期刊:
Communications in Algebra
(Taylor Available online 1993)
卷期:
Volume 21,
issue 11
页码: 4119-4125
ISSN:0092-7872
年代: 1993
DOI:10.1080/00927879308824788
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
Hajós proved that if a finite abelian group is a direct product of cyclic subsets, then at least one of the factors is a subgroup of the group. A cyclic subset consists of the “first some consecutive elements” of a cyclic subgroup. We give a generalization for Hajós' theorem. The proof of this generalization is simpler and the steps are better motivated than the proof of the original result.
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