JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 1, Pages 77 - 83
(April 2006)
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A NOTE ON KNESER?S THEOREM
Xuesheng Chen (P. R. China) and Pingzhi Yuan (P. R. China)
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Abstract: In this note, we obtain a result on the cardinality of the finite subset sums of abelian groups, which improves upon a result of Gao. Furthermore, we prove that the beautiful theorem of Kneser and the well known result of Kemperman and Scherk can be deduced easily from the result here. Finally, we give an application of the result. |
Keywords and phrases: Kneser?s theorem, abelian group, cardinality. |
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