JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (12): 60-65.doi: 10.6040/j.issn.1671-9352.0.2023.196

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The number of endomorphisms and automorphisms of a class of non-abelian groups with order 8p

WU Haigang1, GAO Baijun1,2*   

  1. 1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China;
    2. Institute of Applied Mathematics, Yili Normal University, Yining 835000, Xinjiang, China
  • Published:2024-12-12

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Abstract: Applying the relevant theory of solutions to congruence equations, we study all endomorphisms and automorphisms of a class of ternary generated non-abelian groups with 8p order, and verify that the number of endomorphisms satisfies the conjectures of T.Asai and T.Yoshida.

Key words: congruence equation, non-abelian group, endomorphism, automorphism

CLC Number: 

  • O152.6
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