Essential p-dimension of algebraic tori

Details Essential p-dimension of algebraic tori Essential p-dimension of algebraic tori

2009-10-29

arxiv.org/abs/0910.5574v1

Mathematics

Group Theory

30 pages, no figures

Scientific paper

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 broader class of groups, which includes all algebraic tori.

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