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On a family of multivalued groups - MaRDI portal

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On a family of multivalued groups (Q6665292)

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scientific article; zbMATH DE number 7969165
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English
On a family of multivalued groups
scientific article; zbMATH DE number 7969165

    Statements

    On a family of multivalued groups (English)
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    17 January 2025
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    The author gives a proof for Theorem 9.4 [\textit{V. M. Buchstaber}, Mosc. Math. J. 6, No. 1, 57--84 (2006; Zbl 1129.20045)], a result that was originally stated without proof in Buchstaber's survey article. Namely, he proves that a multivalued group \(X(k)\) is a coset group if and only if \(4k+3\) is a prime power. He refers to the survey article for the definitions and the notation.
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    multivalued group
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    coset group
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    group of rank \(3\)
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