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On c-Normal Subgroups of Finite Groups
Authors:Miao Long  Chen Xiaoli  Guo Wenbin
Affiliation:(1) Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China;(2) Department of Mathematics, Yangzhou University, Yangzhou, 225002, P. R. China;(3) Department of Mathematics, Xuzhou Normal University, Xuzhou, 221009, P. R. China
Abstract:A subgroup H is said to be c-normal in a group G if there exists a normal subgroup K of G such that G = HK and H cap K is contained in HG, where HG is the maximal normal subgroup of G. We determine the structures of some groups in which some primary subgroups is c-normal.AMS Mathematics Subject Classification (2000) 20D10 20D20
Keywords:Group  primary subgroup  c-normal subgroup
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