Abstract
We conclude this book by introducing the genus and the spinor genus of a lattice on a quadratic space over a global field, and by studying the relation between these two new objects and the class. We shall use these relations to obtain sufficient conditions under which two lattices are in the same class.
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© 2000 Springer-Verlag Berlin Heidelberg
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O’Meara, O.T. (2000). Integral Theory of Quadratic Forms over Global Fields. In: Introduction to Quadratic Forms. Classics in Mathematics, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-62031-7_10
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DOI: https://doi.org/10.1007/978-3-642-62031-7_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66564-9
Online ISBN: 978-3-642-62031-7
eBook Packages: Springer Book Archive