Finite non-solvable groups in which the normalizer of every nonnormal cyclic subgroup is maximal |
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| Authors: | Jianji Cao K P Shum |
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| Institution: | 1. Department of Mathematics, Shanxi Datong University, Datong, Shanxi, P. R. China;2. Institute of Mathematics, Yunnan University, Kunming, P. R. China |
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| Abstract: | It is well known that the normality of subgroups plays an important part in the research of group theory. So it is reasonable to investigate the structure of a group by using normalizers of some kind of subgroups. In this paper we mainly investigate the structure of non-solvable groups in which the normalizer of every non-normal cyclic subgroup is a maximal subgroup, and finally the classification for this kind of groups is given. |
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| Keywords: | Cyclic subgroup maximal subgroup normalizer |
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