JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (2): 45-49.doi: 10.6040/j.issn.1671-9352.0.2021.411

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Number of homomorphisms between intra-commutative p-groups and quaternion groups

LIAO Qing-qing, GUO Ji-dong*, ZHANG Liang   

  1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China
  • Published:2022-01-07

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Abstract: Based on the group structure and element properties of intra-commutative p-groups and quaternion groups, the number of homomorphisms from a class of intra-commutative p-groups into quaternion groups is calculated. As an application, the conjecture of T.Asai and T.Yoshida is proved to be valid for such groups.

Key words: intra-commutative p-groups, quaternion groups, group homomorphism

CLC Number: 

  • O152.6
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