Group and round quadratic forms
O’Shea, James
O’Shea, James
Repository DOI
Publication Date
2018-01-01
Type
Article
Downloads
Citation
O’Shea, James (2018). Group and round quadratic forms. Pacific Journal of Mathematics 293 (2), 391-405
Abstract
We offer some elementary characterisations of group and round quadratic forms. These characterisations are applied to establish new (and recover existing) characterisations of Pfister forms. We establish "going-up" results for group and anisotropic round forms with respect to iterated Laurent series field extensions, which contrast with the established results with respect to rational function field extensions. For forms of two-power dimension, we determine when there exists a field extension over which the form becomes an anisotropic group form that is not round.
Funder
Publisher
Mathematical Sciences Publishers
Publisher DOI
10.2140/pjm.2018.293.391
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland