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S-semipermutability of subgroups of p-nilpotent residual and p-supersolubility of a finite group
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2020-08-07 , DOI: 10.1142/s0219498821501176 Zhengtian Qiu 1 , Shouhong Qiao 1
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2020-08-07 , DOI: 10.1142/s0219498821501176 Zhengtian Qiu 1 , Shouhong Qiao 1
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A subgroup H of a finite group G is said to be S -semipermutable in G , if H permutes with all Sylow q -subgroups of G for the primes q not dividing | H | . In this paper, we consider the S -semipermutability of some p -subgroups to investigate the p -supersolubility of a finite group. Some interesting results are obtained which extend some known results.
中文翻译:
有限群的 p- 幂零残差子群的 S- 半全性和 p- 超溶解性
一个子群H 有限群的G 据说是小号 -半可变的G , 如果H 与所有 Sylow 置换q - 亚组G 对于素数q 不分| H | . 在本文中,我们考虑小号 - 一些的半全性p - 亚组来调查p -有限群的超溶解性。获得了一些有趣的结果,这些结果扩展了一些已知结果。
更新日期:2020-08-07
中文翻译:
有限群的 p- 幂零残差子群的 S- 半全性和 p- 超溶解性
一个子群