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Finite quaternion-free 2-groups. - MaRDI portal

Finite quaternion-free 2-groups. (Q2472713)

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Finite quaternion-free 2-groups.
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    Finite quaternion-free 2-groups. (English)
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    22 February 2008
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    An elementary proof of the classification theorem for finite nonmodular quaternion-free \(2\)-groups is presented. The proof is long and very involved. Note that there are some gaps in a related paper [\textit{B. Wilkens}, J. Algebra 258, No. 2, 477-492 (2002; Zbl 1022.20007)], devoted to the same theme.
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    finite \(2\)-groups
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    nonmodular groups
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    subgroup lattices
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    powerful groups
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    quaternion-free groups
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