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A new condition for solvable groups |
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| Authors: | Long Miao Juping Tang |
| Affiliation: | 1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, People''s Republic of China;2. Wuxi Institute of Technology, Wuxi 214121, People''s Republic of China |
| Abstract: | A subgroup H of G is called complemented in G if there exists a subgroup K of G such that and . The aim of this paper is to prove the following: A finite group G is solvable if and only if its Sylow 3-, 5- and 7-subgroups are complemented in G. |
| Keywords: | 20D06 20D10 20D20 |
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