On quadratic Hurwitz forms. I
نویسندگان
چکیده
منابع مشابه
Applications of quadratic D-forms to generalized quadratic forms
In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.
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We determine the indexes of all orthogonal Grassmannians of a generic 16dimensional quadratic form in I q . This is applied to show that the 3-Pfister number of the form is ≥ 4. Other consequences are: a new and characteristic-free proof of a recent result by Chernousov–Merkurjev on proper subforms in I q (originally available in characteristic 0) as well as a new and characteristic-free proof ...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1981
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1981.103904