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Conjugacy classes of \(p\)-elements and normal \(p\)-complements (Q827434)

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Conjugacy classes of \(p\)-elements and normal \(p\)-complements
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    Conjugacy classes of \(p\)-elements and normal \(p\)-complements (English)
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    8 January 2021
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    In this paper, the author studies the structure of finite groups with a large number of conjugacy classes of \(p\)-elements for some prime \(p\). As consequence, he obtains some new criteria for the existence of normal \(p\)-complements in finite groups.
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    finite groups
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    conjugacy classes
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    normal \(p\)-complements
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