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On the Influence of the Indices of Normalizers of Sylow Subgroups on the Structure of a Finite p-Soluble Group

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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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Authors and Affiliations

  1. University of Science and Technology of China, ROC

    Miao Long & Guo Wenbin

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  1. Miao Long
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  2. Guo Wenbin
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Long, M., Wenbin, G. On the Influence of the Indices of Normalizers of Sylow Subgroups on the Structure of a Finite p-Soluble Group. Siberian Mathematical Journal 43, 92–96 (2001). https://doi.org/10.1023/A:1013828705979

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  • DOI: https://doi.org/10.1023/A:1013828705979

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