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Finite groups whose non-normal subgroups are of prime order

Volume 157 / 2019

Huaguo Shi, Zhangjia Han, Lei Jiang Colloquium Mathematicum 157 (2019), 309-316 MSC: Primary 20D35; Secondary 20E34. DOI: 10.4064/cm7637-9-2018 Published online: 7 June 2019


We determine the structure of finite groups whose non-normal subgroups are of prime order.


  • Huaguo ShiDepartment of Applied Mathematics
    and Economics
    Sichuan Vocational and Technical College
    Suining 629000, China
  • Zhangjia HanSchool of Applied Mathematics
    Chengdu University of Information Technology
    Sichuan 610225, China
  • Lei JiangDepartment of Mathematics
    Chengdu Textile College
    Sichuan 611731, China

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