On the Influence of the Indices of Normalizers of Sylow Subgroups on the Structure of a Finite p-Soluble Group |
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Authors: | Miao Long Guo Wenbin |
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Institution: | 1. University of Science and Technology of China, ROC
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Abstract: | We study the dependence of the structure of finite p-soluble groups on the indices of normalizers of Sylow subgroups. We obtain estimates for the p-length of these groups, and for small values of indices we find the nilpotent length of a soluble group. |
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