A new proof of a theorem of Hamidoune avoiding Cayley graphs (Q2869142)
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scientific article; zbMATH DE number 6242440
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of a theorem of Hamidoune avoiding Cayley graphs |
scientific article; zbMATH DE number 6242440 |
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3 January 2014
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addition theorem
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A new proof of a theorem of Hamidoune avoiding Cayley graphs (English)
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The author provides a non-graph theoretic proof of an addition theorem of \textit{Y. O. Hamidoune} [Eur. J. Comb. 13, No. 4, 249--255 (1992; Zbl 0768.05051)]. Hamidoune's theorem is a generalization of a theorem of \textit{L. I. Shatrovskiĭ} [C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 45, 315--317 (1944; Zbl 0063.06948)] which itself is a generalization of the famous theorem of Cauchy-Davenport (see \textit{H. Davenport} [J. Lond. Math. Soc. 10, 30--32 (1935; Zbl 0010.38905)]).
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