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Complemented subgroups and the structure of finite groups |
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| Authors: | Yangming Li Ning Su Yanming Wang |
| Institution: | 1. Department of Mathematics, Guangdong University of Education, Guangzhou, 510310, China 2. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China 3. Lingnan College and Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China |
| Abstract: | Let $p$ be the smallest prime divisor of the order of a finite group $G$ . We examine the structure of $G$ under the hypothesis that $p$ -subgroups of $G$ of certain orders are complemented in $G$ . In particular, we extend some recent results. |
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