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On an independent infinite system of group identities (Q1275971)

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scientific article; zbMATH DE number 1240148
Language Label Description Also known as
English
On an independent infinite system of group identities
scientific article; zbMATH DE number 1240148

    Statements

    title
    On an independent infinite system of group identities (English)
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    author
    P. A. Kozhevnikov
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    publication date
    14 January 1999
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    review text
    It is proved that the identities \(\{[x^p,y^p]^n=1\}\) are independent for sufficiently large odd \(n\) (for example, \(n>10^{10}\)) equal to the power of a prime number. In this relation \(p\) runs through the set of prime numbers.
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    zbMATH Keywords
    group identities
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    independence
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    Identifiers

    Mathematics Subject Classification ID
    20F05
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    20A05
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    20F50
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    zbMATH DE Number
    1240148
    0 references
     
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