On Groups with a CC(n)-Subgroup |
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| Authors: | Heng Lv Xiuyun Guo |
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| Institution: | 1. Department of Mathematics , Shanghai University , Shanghai , China;2. School of Mathematics and Statistics , Southwest University , Chongqing , China;3. Department of Mathematics , Shanghai University , Shanghai , China |
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| Abstract: | A subgroup H of G is a CC(n)-subgroup of G if |G: H| >n and |CG(x): CH(x)| ≤n for each element x ∈ H ? {1}. In this article, we study the finite p-groups with a nontrivial CC(p)-subgroup, and the locally nilpotent groups with a nontrivial CC(n)-subgroup. |
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| Keywords: | ?ernikov groups CC(n)-subgroup Divisible abelian p-group Locally nilpotent group |
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