A reduction theorem for the Isomorphism Problem of group algebras over fields

被引：1
|
作者：
Garcia-Lucas, Diego [1 ]
del Rio, Angel [1 ]
机构：
[1] Univ Murcia, Dept Matemat, Murcia, Spain
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 04期
关键词：
Finite groups; Group algebra; Isomorphism problem; MODULAR GROUP-ALGEBRAS; P-GROUPS;
D O I：
10.1016/j.jpaa.2023.107511
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the Isomorphism Problem for group algebras reduces to group algebras over finite extensions of the prime field. In particular, the Modular Isomorphism Problem reduces to finite modular group algebras.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：6
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