| On Finite Groups that are the Product of Two Subnormal Supersoluble Subgroups |
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| 作者姓名： | John COSSEY Yang Ming LI |
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| 作者单位： | 1. Mathematics Department, School of Mathematical Science, The Australian National University;2. Department of Mathematics, Guangdong University of Education |
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| 基金项目： | supported by the project of NSF of China (Grant No. 12071092)；;the major project of Basic and Applied Research (Natural Science) in Guangdong Province,China (Grant No.2017KZDXM058)；;the Science and Technology Program of Guangzhou Municipality,China (Grant No.201804010088)； |
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| 摘 要： | Denote the class of finite groups that are the product of two normal supersoluble subgroups and the class of groups that are the product of two subnormal supersoluble subgroups by B1 and B2,respectively. In this paper, a characterisation of groups in B1 or in B2 is given. By applying this new characterisation, some new properties of B1(B2) and new proofs of many known results about B1 or B2 are obtained. Furt...
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