On the Kernel of Restriction of Characters

Gang Chen; Jiawei He

doi:10.1007/s11401-022-0304-y

Chinese Annals of Mathematics, Series B ›› 2022, Vol. 43 ›› Issue (1) : 59 -62. DOI: 10.1007/s11401-022-0304-y

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On the Kernel of Restriction of Characters

Gang Chen ¹^,^a
, Jiawei He ¹^,^b

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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

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Gang Chen, Jiawei He. On the Kernel of Restriction of Characters. Chinese Annals of Mathematics, Series B, 2022, 43(1): 59-62 DOI:10.1007/s11401-022-0304-y