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Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup
Authors:Shi  Jiangtao  Li  Na
Institution:1.School of Mathematics and Information Sciences, Yantai University, 30, Qingquan RD, Laishan District, Yantai, 264005, P. R. China
;2.Department of Mathematics, Beijing Jiaotong University, No. 3 Shangyuancun, Beijing, 100044, P. R. China
;
Abstract:Czechoslovak Mathematical Journal - Let G be a finite group. We prove that if every self-centralizing subgroup of G is nilpotent or subnormal or a TI-subgroup, then every subgroup of G is nilpotent...
Keywords:
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