The Number of Homomorphisms from Non-abelian Groups to Quaternion Groups
Based on the group structural characteristics and the properties elements of a class of finite p groups with cyclic maximal subgroups of non-abelian groups,five different types of classifications are given in the sense of isomorphism,and the homomorphism from this group to quaternion groups is calculated.As an application,it is verified that the quantitative relation satisfies the T.Asai and T.Yoshida conjecture.
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