JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 80-86.doi: 10.6040/j.issn.1671-9352.0.2019.839

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Number of homomorphisms between central-dihedral group and dihedral group

XIE Wei, GUO Ji-dong*   

  1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China
  • Published:2020-07-14

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Abstract: Based on the group structure and element properties of central-dihedral group and dihedral group in group theory, the number of homomorphisms between central-dihedral group and dihedral group is calculated by using the related theories of algebra and number theory. As an application, the conjecture of T.Asai & T.Yoshida is proved to be valid for such groups.

Key words: central-dihedral group, homomorphism, conjecture of T.Asai &, T.Yoshida

CLC Number: 

  • O152.6
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