Publication
Title
Symbol length in positive characteristic
Author
Abstract
We show that any central simple algebra of exponent p in prime characteristic p that is split by a p-extension of degree p(n) is Brauer equivalent to a tensor product of 2 center dot p(n-1) -1 cyclic algebras of degree p. If p = 2 and n >= 3, we improve this result by showing that such an algebra is Brauer equivalent to a tensor product of 5 center dot 2n-3 -1 quaternion algebras. Furthermore, we provide new proofs for some bounds on the minimum number of cyclic algebras of degree p that is needed to represent Brauer classes of central simple algebras of exponent p in prime characteristic p, which have previously been obtained by different methods. (c) 2024 Elsevier B.V. All rights reserved.
Language
English
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Publication
Amsterdam : 2024
ISSN
0022-4049
DOI
10.1016/J.JPAA.2024.107613
Volume/pages
228 :6 (2024) , p. 1-10
Article Reference
107613
ISI
001172339600001
Full text (Publisher's DOI)
Full text (open access)
The author-created version that incorporates referee comments and is the accepted for publication version Available from 22.07.2024
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identifier
Creation 29.03.2024
Last edited 22.04.2024
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