Abstract
For a maximal subgroup \( M \) of a group \( G \), the order of a chief factor \( H/K \) of \( G \) is called the normal index of \( M \), where \( H \) is a minimal normal supplement to \( M \) in \( G \). We mainly study the influence of normal index of maximal subgroups on the structure of some nonsolvable groups.
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Funding
This research was supported by the NSFC (Grants # 11871062, 12001436, and 12161062), the NSFC–RFBR (Grant # 12011530061), and the Natural Science Foundation of the Jiangsu Province (Grant # BK20181451).
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Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 3, pp. 576–586. https://doi.org/10.33048/smzh.2022.63.308
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Dong, S., Miao, L., Zhang, J. et al. On Maximal Subgroups of Nonsolvable Groups. Sib Math J 63, 476–484 (2022). https://doi.org/10.1134/S0037446622030089
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DOI: https://doi.org/10.1134/S0037446622030089