A Note on CLT-Groups |
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| Authors: | Jianjun Liu Shirong Li |
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| Institution: | 1. School of Mathematics and Statistics , Southwest University , Chongqing , China liujj198123@163.com;3. Department of Mathematics , Guangxi University , Nanning , Guangxi , China |
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| Abstract: | In this paper, we characterize finite groups G satisfying that, for every prime power divisor p n of the order of G, there exists a subgroup H of index p n (of order p n ) in G such that H is normal or abnormal in G. |
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| Keywords: | Abnormal subgroups Carter subgroups CLT-groups 𝒩 -projector Power automorphism |
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