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On p-CAP-subgroups of finite groups |
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| Authors: | Zhichao GAO Shouhong QIAO Huaguo SHI Long MIAO |
| Institution: | 1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China3. Education faculty, Sichuan Vocational and Technical College, Suining 629000, China |
| Abstract: | Suppose that G is a finite group and H is a subgroup of G. H is said to be a p-CAP-subgroup of G if H either covers or avoids each pd-chief factor of G. We give some characterizations for a group G to be p-solvable under the assumption that some subgroups of G are p-CAP-subgroups of G. |
| Keywords: | Maximal subgroups 2-maximal subgroups p-CAP-subgroups |
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