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The Hajós Factorization of Elementary 3-Groups

✍ Scribed by Khalid Amin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
68 KB
Volume
224
Category
Article
ISSN
0021-8693

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✦ Synopsis

If G is a finite abelian group and n ) 1 is an integer, we say that G has the Hajos n-property, or is n-good if from each decomposition G s S S . . . S of G ´1 2 n into a direct product of subsets, it follows that at least one of the S is periodic, i Ä 4 meaning that there exists x g G y e such that xS s S . Otherwise, G is said to i i

be n-bad. In this paper, we show that if G is an elementary abelian 3-group of n Ž . order 3 , then G is n y 1 -good.

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