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On 2-groups of small rank admitting an automorphism of order 3 - MaRDI portal

On 2-groups of small rank admitting an automorphism of order 3 (Q1123972)

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scientific article; zbMATH DE number 4110924
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English
On 2-groups of small rank admitting an automorphism of order 3
scientific article; zbMATH DE number 4110924

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    On 2-groups of small rank admitting an automorphism of order 3 (English)
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    1989
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    The maximal number m(G) of independent generators of an abelian subgroup of a primary group G is called the rank of G. The author classifies all finite 2-groups of rank at most 3 admitting an automorphism of order \(p=3\). The corresponding classification for \(p>3\) is given by the author [in J. Algebra 125, No.1, 1-12 (1989; see the preceding review Zbl 0678.20008)].
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    automorphism of order 3
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    finite 2-groups
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