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On the structure of a mutually permutable product of finite groups
Authors:J Cossey  Y-M Li
Institution:1.Mathematics Department, School of Mathematical Science,The Australian National University,Canberra,Australia;2.Department of Mathematics,Guangdong University of Education,Guangzhou,People’s Republic of China
Abstract:Let a finite group \({G = AB}\) be the product of the mutually permutable subgroups A and B. We investigate the structure of G given by conditions on conjugacy class sizes of elements in \({A \cup B}\) . Some recent results are extended.
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