The influence of non-cp-normal maximal subgroups on the structure of the groups

SI Yanming; MIAO Long; BAO Hongwei; LIU Wei

doi:10.7540/j.ynu.20250230

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SI Yanming, MIAO Long, BAO Hongwei, LIU Wei. The influence of non-cp-normal maximal subgroups on the structure of the groupsJ. Journal of Yunnan University: Natural Sciences Edition. DOI: 10.7540/j.ynu.20250230

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SI Yanming, MIAO Long, BAO Hongwei, LIU Wei. The influence of non-cp-normal maximal subgroups on the structure of the groupsJ. Journal of Yunnan University: Natural Sciences Edition. DOI: 10.7540/j.ynu.20250230

Citation:

SI Yanming, MIAO Long, BAO Hongwei, LIU Wei. The influence of non-cp-normal maximal subgroups on the structure of the groupsJ. Journal of Yunnan University: Natural Sciences Edition. DOI: 10.7540/j.ynu.20250230

The influence of non-c_p-normal maximal subgroups on the structure of the groups

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Abstract

We focus on the c_p -normality of maximal subgroups to classify second maximal subgroups. Moreover, the formation \widehat\mathcalF_p\text=\left\langle \left\G\left| M\lessdot G,M\right.\right.\right.\textis p-solvable or\left| G\colon M\right| \textis \left.\left.\texta prime power\right\\right\rangle is defined and its structures is explored by considering various properties.

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The influence of non-cp-normal maximal subgroups on the structure of the groups

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The influence of non-c_p-normal maximal subgroups on the structure of the groups