Abstract
Inspired by the research of Guo, Shum, and Skiba, we investigated the relationship between the classification of the nonabelian composition factor of a group (solvability of a group) and the \( X \)-semipermutability of a maximal subgroup (a second maximal subgroup). The first theorem answered the question by Li and Yu to some extent.
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Funding
This work was supported by the NSFC (Grants nos. 12071376, 12001436, and 11971391) and the Chunhui Plan Cooperative Scientific Research Project of the Ministry of Education of the People’s Republic of China and the Fundamental Research Funds of China West Normal University (Grants nos. 17E091 and 18B032).
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Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 1, pp. 232–236. https://doi.org/10.33048/smzh.2022.63.117
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Zhang, J., Chen, G. On Some Properties of \( X \)-Semipermutable Subgroups. Sib Math J 63, 193–196 (2022). https://doi.org/10.1134/S0037446622010177
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DOI: https://doi.org/10.1134/S0037446622010177