JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 25-29.doi: 10.6040/j.issn.1671-9352.0.2020.030

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Number of homomorphisms between two classes of non-abelian finite groups

LI Feng-jiao, GAO Bai-jun*   

  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 among a class of non-abelian groups of order 10pn with cyclic Sylow p-subgroups and from the non-abelian finite groups into quaternion group is obtained by using algebraic number theory. As an application, the number of homomorphisms of such groups satisfies the conjecture of Asai and Yoshida is verified.

Key words: non-abelian group, number of homomorphism, quaternion group

CLC Number: 

  • O152.6
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