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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
Affiliation  

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
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