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Conjugacy classes of
$p$-elements and normal $p$-complements
Hung P. Tong-Viet |
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Vol. 308 (2020), No. 1, 207–222
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Abstract |
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We study the structure of finite groups with a large number of conjugacy classes of -elements for some prime . As a consequence, we obtain some new criteria for the existence of normal -complements in finite groups. |
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Keywords
conjugacy classes, $p$-elements, normal $p$-complements
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Mathematical Subject Classification
Primary: 20E45
Secondary: 20D10, 20D20
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Milestones
Received: 1 March 2020
Revised: 22 May 2020
Accepted: 28 May 2020
Published: 3 December 2020
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Authors |
| Hung P. Tong-Viet | |
| Department of Mathematical
Sciences Binghamton University Binghamton, NY 13902-6000 United States |
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