On the Kernel of Restriction of Characters*

Citation:

Gang CHEN,Jiawei HE.On the Kernel of Restriction of Characters*[J].Chinese Annals of Mathematics B,2022,43(1):59~62
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Authors:

Gang CHEN; Jiawei HE

Foundation:

National Natural Science Foundation of China (No. 11971189).
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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