A condition for the solvability of finite groups |
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| Authors: | Long Miao Guohua Qian |
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| Institution: | (1) Yangzhou University, Yangzhou, P. R. China;(2) Changshu Institute of Technology, Changshu, Jiangsu, P. R. China |
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| Abstract: | A subgroup H is called ?-supplemented in a finite group G, if there exists a subgroup B of G such that G = HB and H 1 B is a proper subgroup of G for every maximal subgroup H 1 of H. We investigate the influence of ?-supplementation of Sylow subgroups and obtain a condition for solvability and p-supersolvability of finite groups. |
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| Keywords: | solvable group Sylow subgroup ℳ -supplemented subgroup finite group |
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