Overview
In this chapter we provide the set of isomorphism classes of free separable quadratic algebras over a commutative ring R with a group structure and focus on the properties of this group as well as those of its graded analogue. These will be important in Chapter 7 in the analysis of the Clifford algebra of a quadratic module. Certain “projective” versions of these groups will have crucial impact on the structure of the Brauer and Witt groups over R. See Chapters 13 and 14.
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© 1994 Springer-Verlag New York, Inc.
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Hahn, A.J. (1994). Groups of Free Quadratic Algebras. In: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6311-8_5
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DOI: https://doi.org/10.1007/978-1-4684-6311-8_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94110-3
Online ISBN: 978-1-4684-6311-8
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