JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 92-97.doi: 10.6040/j.issn.1671-9352.0.2019.438

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A classs of finite p-groups with few normal subgroups

WANG Jun-xin*, BAI Peng-fei   

  1. Faculty of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, Shanxi, China
  • Published:2020-07-14

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Abstract: The N1-p-groups are completely classified. The so-called N1-group is a group G that has only one normal subgroup which neither contains G' nor is contained in Z(G).

Key words: N1-p-group, derived subgroup G', center Z(G)

CLC Number: 

  • O152.1
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