A lower bound on the essential dimension of PGL(4) in characteristic 2

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In the present paper, we provide a lower bound of the essential dimension over a field of positive characteristic via Kato's cohomology group, defined by cokernel of a general Artin-Schreier operator. Combining this with Tignol's result on the second trace form of simple algebras of degree 4, we show that ed(PGL(4)) >= 4 over a field of characteristic 2.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2017-04
Language
English
Article Type
Article
Keywords

QUADRATIC-FORMS; ALGEBRAS; FIELDS

Citation

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v.16, no.4

ISSN
0219-4988
DOI
10.1142/S0219498817500633
URI
http://hdl.handle.net/10203/223794
Appears in Collection
MA-Journal Papers(저널논문)
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