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On g-s-supplemented subgroups of finite groups |
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| Authors: | Wenbin Guo Fengyan Xie Yi Lu |
| Institution: | 1.Department of Mathematics, University of Science and Technology of China, Hefei 230026, China；Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China; 2.Mathematics and Information Engineering Department, Anyang Normal University, Anyang 455000, China；Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China; 3.Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China; |
| Abstract: | A subgroup H of a group G is said to be g-s-supplemented in G if there exists a subgroup K of G such that HK?G and H ∩ K ? H sG , where HsG is the largest s-permutable subgroup of G contained in H. By using this new concept, we establish some new criteria for a group G to be soluble. |
| Keywords: | Finite group g-s-supplemented subgroup Sylow subgroup soluble group |
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