Essential dimension of simple algebras in positive characteristic

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Let p be a prime integer. For any integers 1 <= s <= r, Alg(pr,ps) denotes the class of central simple algebras of degree p(r) and exponent dividing p(s). For any s < r, we find a lower bound for the essential p-dimension of Alg(pr),(ps). Furthermore, we compute an upper bound for Alg(8,2) over a field of characteristic 2. As a result, we show ed(2)(Alg(4,2)) = ed(Alg(4,2)) = 3 and 3 <= ed(Alg(8,2)) <= 10 over a field of characteristic 2. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Issue Date
2011-04
Language
English
Article Type
Article
Keywords

PERIOD-INDEX PROBLEM

Citation

COMPTES RENDUS MATHEMATIQUE, v.349, no.7-8, pp.375 - 378

ISSN
1631-073X
DOI
10.1016/j.crma.2011.03.014
URI
http://hdl.handle.net/10203/103277
Appears in Collection
MA-Journal Papers(저널논문)
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