| 一类有限2群与二面体群之间的同态个数 |
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| 引用本文： | 张薇,赖吉娜,郭继东,张良.一类有限2群与二面体群之间的同态个数[J].山东大学学报(理学版),2023,58(3):7-13. |
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| 作者姓名： | 张薇 赖吉娜 郭继东 张良 |
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| 作者单位： | 1.伊犁师范大学数学与统计学院, 新疆 伊宁 835000;2.伊犁师范大学应用数学研究所, 新疆 伊宁 835000 |
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| 基金项目： | 新疆维吾尔自治区自然科学基金项目(2022D01C334);2022年度伊梨师范大学高级别培育项目(YSPY2022012) |
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| 摘 要： | 根据G2和二面体群的结构特征以及元素的性质，计算G2和二面体群之间的同态个数。作为应用，验证这两个群之间的同态个数满足T.Asai和T.Yoshida的猜想。
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| 关 键 词： | 有限2群 二面体群 群同态 |
The number of homomorphisms between a class of finite 2-groups and dihedral groups |
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| ZHANG Wei,LAI Ji-na,GUO Ji-dong,ZHANG Liang.The number of homomorphisms between a class of finite 2-groups and dihedral groups[J].Journal of Shandong University,2023,58(3):7-13. |
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| Authors: | ZHANG Wei LAI Ji-na GUO Ji-dong ZHANG Liang |
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| Institution: | 1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China;2. Institute of applied Mathematics, Yili Normal University, Yining 835000, Xinjiang, China |
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| Abstract: | Based on the group structure and element properties of G2 and dihedral groups, the number of homomorphisms between G2 and dihedral groups is calculated. As an application, it verifies that T.Asai and T.Yoshidas conjecture is satisfied such groups. |
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| Keywords: | finite 2-groups dihedral groups group homomorphism |
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