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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Cartan matrix of a group algebra modulo any power of its radical
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by Peter Landrock PDF
Proc. Amer. Math. Soc. 88 (1983), 205-206 Request permission

Abstract:

We prove that the Cartan matrix of a group algebra $F[G]$ modulo any power of its radical $J$ is dual symmetric, provided $F$ is a splitting field of $F[G]/J$. This eases the process of determining the Loewy series of the projective indecomposable $F[G]$-modules.
References
  • Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 88 (1983), 205-206
  • MSC: Primary 20C05; Secondary 16A26
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0695241-2
  • MathSciNet review: 695241