JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 7-13.doi: 10.6040/j.issn.1671-9352.0.2022.209

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The number of homomorphisms between a class of finite 2-groups and dihedral groups

ZHANG Wei1,2, LAI Ji-na1,2, GUO Ji-dong1,2*, ZHANG Liang1,2   

  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:2023-03-02

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Abstract: Based on the group structure and element properties of G2 and dihedral groups, the number of homomorphisms between G2 and dihedral groups is calculated. As an application, it verifies that T.Asai and T.Yoshidas conjecture is satisfied such groups.

Key words: finite 2-groups, dihedral groups, group homomorphism

CLC Number: 

  • O152.6
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