Publication
Title
A bound on the index of exponent-4 algebras in terms of the u-invariant
Author
Abstract
For a prime number p, an integer e >= 2 and a field F containing a primitive p(e)-th root of unity, the index of central simple F-algebras of exponent p(e) is bounded in terms of the p-symbol length of F. For a nonreal field F of characteristic different from 2, the index of central simple algebras of exponent 4 is bounded in terms of the u-invariant of F. Finally, a new construction for nonreal fields of u-invariant 6 is presented.
Language
English
Source (journal)
New York journal of mathematics. - New York, N.Y.
Publication
New York, N.Y. : 2023
ISSN
1076-9803
Volume/pages
29 (2023) , p. 1273-1286
ISI
001123741100001
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identifier
Creation 09.01.2024
Last edited 16.01.2024
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