| On the Kernel of Restriction of Characters |
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| 作者姓名： | Gang CHEN Jiawei HE |
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| 作者单位： | School of Mathematics and Statistics |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China(No.11971189). |
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| 摘 要： | Let G be a finite group, H be a proper subgroup of G, and S be a unitary subring of C. The kernel of the restriction map SIrr(G)] → SIrr(H)] as a ring homomorphism is studied. As a corollary, the main result in Isaacs, I. M. and Navarro, G., Injective restriction of characters, Arch. Math., 108, 2017, 437–439] is reproved.
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| 关 键 词： | CHARACTERS Character ring Character restriction |
| 收稿时间： | 2020/6/12 0:00:00 |
| 修稿时间： | 2021/6/2 0:00:00 |
On the Kernel of Restriction of Characters* |
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| Gang CHEN,Jiawei HE.On the Kernel of Restriction of Characters[J].Chinese Annals of Mathematics,Series B,2022,43(1):59-62. |
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| Authors: | Gang CHEN Jiawei HE |
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| Institution: | School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China. |
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| Abstract: | Let G be a finite group, H be a proper subgroup of G, and S be a unitary subring of C. The kernel of the restriction map SIrr(G)] → SIrr(H)] as a ring homomorphism is studied. As a corollary, the main result in Isaacs, I. M. and Navarro, G., Injective restriction of characters, Arch. Math., 108, 2017, 437–439] is reproved. |
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| Keywords: | Characters Character ring Character restriction |
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