Nilpotency degree of cohomology rings in characteristic 3 (Q2758963)

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scientific article; zbMATH DE number 1680623
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Nilpotency degree of cohomology rings in characteristic 3
scientific article; zbMATH DE number 1680623

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    Nilpotency degree of cohomology rings in characteristic 3 (English)
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    10 December 2001
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    cohomology rings
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    nilpotency degrees
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    finite \(p\)-groups
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    The author provides a \(3\)-group \(G\) whose mod \(3\) cohomology ring \(H^*(G)\) has an element \(\xi\) with \(\xi^3\not=0\). However, the existence of a \(p\)-group having a cohomology class of nilpotency degree greater than \(p>3\) still remains an open problem.
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