|
Title
|
|
|
|
Types of linkage of quadratic Pfister forms
|
|
|
Author
|
|
|
|
|
|
|
Abstract
|
|
|
|
| Given a field F of positive characteristic p, theta is an element of H-p(n-1)(F) and beta,gamma is an element of Fx, we prove that if the symbols theta <> d beta/beta and theta <> d gamma/gamma in H-p(n)(F) share the same factors in H-p(1) (F) then the symbol theta <> d beta/beta <>d gamma/gamma in H-p(n+1)(F) is trivial. We conclude that when p = 2, every two totally separably (n - 1)-linked n-fold quadratic Pfister forms are inseparably (n - 1)-linked. We also describe how to construct non-isomorphic n-fold Pfister forms which are totally separably (or inseparably) (n - 1)-linked, i.e. share all common (n 1)-fold quadratic (or bilinear) Pfister factors. (C) 2018 Elsevier Inc. All rights reserved. |
|
|
|
Language
|
|
|
|
English
|
|
|
Source (journal)
|
|
|
|
Journal of number theory. - New York, N.Y.
|
|
|
Publication
|
|
|
|
New York, N.Y.
:
2019
|
|
|
ISSN
|
|
|
|
0022-314X
|
|
|
DOI
|
|
|
|
10.1016/J.JNT.2018.11.017
|
|
|
Volume/pages
|
|
|
|
199
(2019)
, p. 352-362
|
|
|
ISI
|
|
|
|
000460852300016
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
|
Full text (open access)
|
|
|
|
|
|
|
Full text (publisher's version - intranet only)
|
|
|
|
|
|