JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 58-60.doi: 10.6040/j.issn.1671-9352.0.2020.623

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A note on a finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower

SHI Jiang-tao, REN Hui-xuan   

  1. School of Mathematics and Information Sciences, Yantai University, Yantai 264005, Shandong, China
  • Published:2021-08-09

Abstract: Let G be a finite group in which all non-nilpotent maximal subgroups are normal. Without applying the solvability of G, we prove that G has a Sylow tower.

Key words: non-nilpotent maximal subgroup, normal, Sylow tower

CLC Number: 

  • O152.1
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