Based on the structure of the quasi-dihedral 2-group and the properties of its elements in group theory,we used the basic method in algebra to construct all homomorphisms from two different the quasi-dihedral 2-groups.We also got the result that conjecture of Asai and Yoshida was satisfied on the quasi-dihedral 2-group.%基于群理论中拟二面体2-群的结构及该群元素的特征,利用代数学的基本方法,通过构造两个不同拟二面体2-群间的所有同态,得到Asai和Yoshida猜想对拟二面体2-群成立.
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