Summands of finite group algebras

We study the inverse problem of the determination of a group algebra from the knowledge of its Wedderburn decomposition. We show that a certain class of matrix rings always occur as summands of finite group algebras.

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Bibliographic Details
Published inCzechoslovak mathematical journal Vol. 71; no. 4; pp. 1011 - 1014
Main Authors Dietzel, Carsten, Mittal, Gaurav
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2021
Springer Nature B.V
Subjects
Algebra
Analysis
Convex and Discrete Geometry
Group theory
Inverse problems
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Rings (mathematics)
Wedderburn decomposition
group algebra
20C05
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Summary:We study the inverse problem of the determination of a group algebra from the knowledge of its Wedderburn decomposition. We show that a certain class of matrix rings always occur as summands of finite group algebras.
ISSN:0011-4642
1572-9141
DOI:10.21136/CMJ.2020.0171-20