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On -z-supplemented subgroups of finite groups
Authors:Guo Wenbin  Tang NaLi Baojun
Affiliation: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 Image-z-supplemented in G if there exists a subgroup K of G, such that G = H K and H ∩ K ≤ ZImage(G), where ZImage(G) is the Image-hypercenter of G. We obtain some results about the Image-z-supplemented subgroups and use them to determine the structure of some groups.
Keywords:Finite groups   local formations     >  8"   border="  0"   align="  middle"   width="  6"   style="  vertical-align: bottom  "   alt="  Image"   title="  Image"   src="  http://ars.els-cdn.com/content/image/1-s2.0-S025296021160204X-fx1.gif"  >-z-supplemented subgroups   supersoluble groups   p-nilpotent groups
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