Collection by polynomials in finite \(p\)-groups. (Q2869261)

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scientific article; zbMATH DE number 6242541
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Collection by polynomials in finite \(p\)-groups.
scientific article; zbMATH DE number 6242541

    Statements

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    3 January 2014
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    finite \(p\)-groups
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    collection by polynomials
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    power-commutator presentations
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    Collection by polynomials in finite \(p\)-groups. (English)
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    It is shown how the multiplication and inversion in finite \(p\)-groups can be described by polynomials \(m\) and \(i\), respectively, over the Galois field \(\mathrm{GF}(p)\). A number of examples are exhibited (groups of exponent \(p\), Abelian \(p\)-groups, some group of order \(2^9\), exponent \(4\) and class \(5\)).NEWLINENEWLINEFor the entire collection see [Zbl 1253.20001].
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