#### Vol. 308, No. 1, 2020

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Conjugacy classes of $p$-elements and normal $p$-complements

### Hung P. Tong-Viet

Vol. 308 (2020), No. 1, 207–222
##### Abstract

We study the structure of finite groups with a large number of conjugacy classes of $p$-elements for some prime $p$. As a consequence, we obtain some new criteria for the existence of normal $p$-complements in finite groups.

##### Keywords
conjugacy classes, $p$-elements, normal $p$-complements
##### Mathematical Subject Classification
Primary: 20E45
Secondary: 20D10, 20D20