Some Consequences of the Karpenko-merkurjev Theorem
نویسندگان
چکیده
We use a recent theorem of N. A. Karpenko and A. S. Merkurjev to settle several questions in the theory of essential dimension. 2010 Mathematics Subject Classification: 20D15, 20C15, 20G15
منابع مشابه
Essential Dimension of Algebraic Tori
The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkurjev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broad class of groups, which includes all algebraic tori.
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تاریخ انتشار 2008