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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on $ G$-invariant forms


Author: Stephen M. Gagola
Journal: Proc. Amer. Math. Soc. 123 (1995), 3301-3304
MSC: Primary 20C11; Secondary 20C05, 20C20
MathSciNet review: 1291768
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1291768-1
PII: S 0002-9939(1995)1291768-1
Keywords: G-invariant forms, RG-lattice, reduction $ \bmod \; p$
Article copyright: © Copyright 1995 American Mathematical Society