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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on $G$-invariant forms
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by Stephen M. Gagola
Proc. Amer. Math. Soc. 123 (1995), 3301-3304
DOI: https://doi.org/10.1090/S0002-9939-1995-1291768-1

Abstract:

If G is a finite group, the reduction $\bmod \; p$ of a module supporting a nondegenerate G-invariant form need not itself support such a form. However, under a suitable hypothesis on the splitting field (quadratric closure) and a carefully chosen lattice within the module (for reduction $\bmod \; p$), this will always be the case. The argument given is elementary and self-contained.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3301-3304
  • MSC: Primary 20C11; Secondary 20C05, 20C20
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1291768-1
  • MathSciNet review: 1291768