Czechoslovak Mathematical Journal, first online, pp. 1-4


Summands of finite group algebras

Carsten Dietzel, Gaurav Mittal

Received May 1, 2020.   Published online December 14, 2020.

Abstract:  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.
Keywords:  Wedderburn decomposition; group algebra
Classification MSC:  20C05
DOI:  10.21136/CMJ.2020.0171-20

PDF available at:  Springer   Institute of Mathematics CAS

References:
[1] C. Polcino Milies, S. K. Sehgal: An Introduction to Group Rings. Algebras and Applications 1. Kluwer Academic Publishers, Dordrecht (2002). MR 1896125 | Zbl 0997.20003
[2] J.-P. Serre: Linear Representations of Finite Groups. Graduate Texts in Mathematics 42. Springer, New York (1977). DOI 10.1007/978-1-4684-9458-7 | MR 0450380 | Zbl 0355.20006

Affiliations:   Carsten Dietzel, Institute of Algebra and Number Theory, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany, e-mail: carstendietzel@gmx.de; Gaurav Mittal (corresponding author), Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India, e-mail: gmittal@ma.iitr.ac.in


 
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