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November 2014 Addendum to ‘‘On integral quadratic forms having commensurable groups of automorphisms’’
José María Montesinos-Amilibia
Hiroshima Math. J. 44(3): 341-350 (November 2014). DOI: 10.32917/hmj/1419619751

Abstract

Cassels proved that projectively equivalent integral quadratic forms are commensurable. In this note, an elementary proof of the converse of this theorem, for indefinite forms, is given. This was proved in "On integral quadratic forms having commensurable groups of automorphisms," Hiroshima Math. J. 43, 371–411 (2013) for forms of Sylvester signature +++. . .+- or ---. . .-+ (hyperbolic forms) and it was left there, as an open problem, for non-hyperbolic indefinite forms of any Sylvester signature.

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José María Montesinos-Amilibia. "Addendum to ‘‘On integral quadratic forms having commensurable groups of automorphisms’’." Hiroshima Math. J. 44 (3) 341 - 350, November 2014. https://doi.org/10.32917/hmj/1419619751

Information

Published: November 2014
First available in Project Euclid: 26 December 2014

zbMATH: 1315.11023
MathSciNet: MR3296080
Digital Object Identifier: 10.32917/hmj/1419619751

Subjects:
Primary: 11E04, 11E20, 57M25, 57M50, 57M60

Rights: Copyright © 2014 Hiroshima University, Mathematics Program

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Vol.44 • No. 3 • November 2014
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