On the orders of conjugacy classes of cyclic subgroups (Q1901983)

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scientific article; zbMATH DE number 815705
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English
On the orders of conjugacy classes of cyclic subgroups
scientific article; zbMATH DE number 815705

    Statements

    On the orders of conjugacy classes of cyclic subgroups (English)
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    22 February 1996
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    Let \(G\) be a finite group. A condition for \(G\) to be \(p\)-nilpotent is given in terms of the lengths of conjugacy classes of cyclic subgroups of \(G\).
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    finite groups
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    \(p\)-nilpotent groups
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    lengths of conjugacy classes of cyclic subgroups
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