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
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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