Essential dimension of central simple algebras

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Let p be a prime integer, 1a parts per thousand currency signsa parts per thousand currency signr be integers and F be a field of characteristic different from p. We find upper and lower bounds for the essential p-dimension ed (p) () of the class of central simple algebras of degree p (r) and exponent dividing p (s) . In particular, we show that ed(Alg (8,2))=ed(2)(Alg (8,2))=8 and ed (p) ()=p (2)+p for p odd.
Publisher
SPRINGER
Issue Date
2012-09
Language
English
Article Type
Article
Keywords

DEGREE-4

Citation

ACTA MATHEMATICA, v.209, no.1, pp.1 - 27

ISSN
0001-5962
DOI
10.1007/s11511-012-0080-8
URI
http://hdl.handle.net/10203/104021
Appears in Collection
MA-Journal Papers(저널논문)
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