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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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Restrictions of modules to local subgroups
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by David W. Burry and Jon F. Carlson PDF
Proc. Amer. Math. Soc. 84 (1982), 181-184 Request permission

Abstract:

The main theorem of this paper is a strengthening of the uniqueness statement in the Green correspondence for modules over certain group rings of finite groups. One consequence of this result is an extension of the work of J. L. Alperin and the first author on a module-theoretic approach to block theory. Specifically, the stronger Green correspondence is used to complete the proof of Brauer’s First Main Theorem.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 84 (1982), 181-184
  • MSC: Primary 20C20
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0637165-1
  • MathSciNet review: 637165