On the normal indices of proper subgroups of finite groups |
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| Authors: | Xianhua Li Xinjian Zhang |
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| Affiliation: | School of Mathematical Science, Soochow University, Suzhou, Jiangsu 215006, People’s Republic of China |
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| Abstract: | We extended the normal index from maximal subgroups to proper subgroups. We give a quantitative version of all results obtained by using c-normal subgroups and obtain some new characterizations of solvable, supersolvable and nilpotent groups by the normal indices of proper subgroups. |
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| Keywords: | 20D10 20D15 |
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