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Milnor's alternative for finitely generated relatively free groups that are locally graded (Q776986)

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scientific article; zbMATH DE number 7219819
Language Label Description Also known as
English
Milnor's alternative for finitely generated relatively free groups that are locally graded
scientific article; zbMATH DE number 7219819

    Statements

    title
    Milnor's alternative for finitely generated relatively free groups that are locally graded (English)
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    author
    Olga Macedońska
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    Waldemar Hołubowski
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    publication date
    13 July 2020
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    review text
    Summary: Let \(G\) be a finitely generated relatively free group that is locally graded. We show that either \(G\) contains a non-trivial free subsemigroup or \(G\) is nilpotent-by-finite.
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    zbMATH Keywords
    group's growth
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    Milnor property
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    Identifiers

    DOI
    10.4171/RSMUP/46
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    Mathematics Subject Classification ID
    20F05
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    20E07
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    20E26
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    20F19
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    zbMATH DE Number
    7219819
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    OpenAlex ID
    W3028482737
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