JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 30-36.doi: 10.6040/j.issn.1671-9352.0.2020.007

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Number of homomorphisms from a class of non-abelian groups into dihedral groups

LAI Ji-na, GUO Ji-dong*   

  1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China
  • Published:2020-12-01

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Abstract: The number of homomorphisms from a class of non-abelian groups into dihedral groups is calculated. As an application, it verifies that T. Asai and T. Yoshidas conjecture is satisfied such groups.

Key words: non-abelian group, dihedral group, group homomorphism

CLC Number: 

  • O152.6
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