Essential dimension of simple algebras with involutions

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Let 1 < m < n be integers with m vertical bar n and Alg(n, m) the class of central simple algebras of degree n and exponent dividing m. In this paper, we find new, improved upper bounds for the essential dimension and two-dimension of Alg(n, 2). In particular, we show that ed(2)(Alg(16, 2))=24 over a field F of characteristic different from 2.
Publisher
OXFORD UNIV PRESS
Issue Date
2012-06
Language
English
Article Type
Article
Citation

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v.44, pp.578 - 590

ISSN
0024-6093
DOI
10.1112/blms/bdr120
URI
http://hdl.handle.net/10203/101951
Appears in Collection
MA-Journal Papers(저널논문)
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