吉林大学学报(理学版)
• 数学 • 上一篇 下一篇
郝延芹, 海进科
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HAO Yanqin, HAI Jinke
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摘要： 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.
关键词: 拟二面体2群, 群同态, 换位子群
Abstract: Based on the structure of the quasidihedral 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 quasidihedral 2-groups. We also got the result that conjecture of Asai and Yoshida was satisfied on the quasi-dihedral 2-group.
Key words: quasi-dihedral 2-group, commutator subgroup, homomorphism
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郝延芹, 海进科. Asai和Yoshida猜想的一个注记[J]. 吉林大学学报(理学版), 2017, 55(06): 1473-1476.
HAO Yanqin, HAI Jinke. A Note on Conjecture of Asai and Yoshida[J]. Journal of Jilin University Science Edition, 2017, 55(06): 1473-1476.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2017/V55/I06/1473
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