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On -z-supplemented subgroups of finite groups |
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| Authors: | Guo Wenbin Tang NaLi Baojun |
| Institution: | a Department of Mathematics, University of Science and Technology of China, Hefei 230026, China b Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China c Department of Mathematics, Huaiyin Teachers College, Huaiyin 223001, China d School of Mathematics, Chengdu University of Information Technology, Chengdu 610225, China |
| Abstract: | A subgroup H of a group G is called  -z-supplemented in G if there exists a subgroup K of G, such that G = H K and H ∩ K ≤ Z∞(G), where Z∞(G) is the -hypercenter of G. We obtain some results about the -z-supplemented subgroups and use them to determine the structure of some groups. |
| Keywords: | Finite groups local formations |
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