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An algebraic generalization of a theorem of E. C. Zeeman

✍ Scribed by P.G Vroegindewey


Publisher
Elsevier Science
Year
1974
Weight
291 KB
Volume
77
Category
Article
ISSN
1385-7258

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A Generalization of an Addition Theorem
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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°ABÞj where HΓ°ABÞ ΒΌ fg 2 G : gΓ°ABÞ ΒΌ ABg: Motivated by the study of a problem in finite fields, we prove an analogous result for vector spaces over a field