On the Kernel of Restriction of Characters

• 作者: Gang CHEN Jiawei HE
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 59-62
• 页数: 4页
• 语种: 英文
• DOI: 10.1007/s11401-022-0304-y

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 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.