A Generalization of an Addition Theorem
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Xiang-Dong Hou; Ka Hin Leung; Qing Xiang
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Article
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2002
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Elsevier Science
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English
β 109 KB
A theorem of Kneser states that in an abelian group G; if A and B are finite subsets in G and AB ΒΌ fab : a 2 A; b 2 Bg; then jABj5jAj ΓΎ jBj Γ jHΓ°ABΓj where HΓ°ABΓ ΒΌ fg 2 G : gΓ°ABΓ ΒΌ ABg: Motivated by the study of a problem in finite fields, we prove an analogous result for vector spaces over a field