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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 structure theorem for a pair of quadratic forms


Authors: J. S. Hsia, M. Jöchner and Y. Y. Shao
Journal: Proc. Amer. Math. Soc. 119 (1993), 731-734
MSC: Primary 11E12
MathSciNet review: 1155599
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Abstract: For any two lattices $ L$ and $ K$ in the same genus there exist isometric primitive sublattices $ {L'},{K'}$ of codimension $ 1$. This result not only proves Friedland's conjecture but also extends it to lattices in an arbitrary genus and defined over any algebraic number field.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1155599-3
PII: S 0002-9939(1993)1155599-3
Article copyright: © Copyright 1993 American Mathematical Society