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On the Kernel of Restriction of Characters* |
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Citation: |
Gang CHEN,Jiawei HE.On the Kernel of Restriction of Characters*[J].Chinese Annals of Mathematics B,2022,43(1):59~62 |
Page view: 461
Net amount: 382 |
Authors: |
Gang CHEN; Jiawei HE |
Foundation: |
National Natural Science Foundation of China (No. 11971189). |
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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 S[Irr(G)] → S[Irr(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. |
Keywords: |
Characters, Character ring, Character restriction |
Classification: |
17B40, 17B50 |
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