Aurel Meyer and Zinovy Reichstein: Some consequences of the Karpenko-Merkurjev theorem,

Submission: 2008, Nov 15, revised 2010, Jun 8

We use a recent theorem of N. A. Karpenko and A. S. Merkurjev to settle several questions in the theory of essential dimension.

2000 Mathematics Subject Classification: 20D15, 20C15, 20G15

Keywords and Phrases: Essential dimension, linear representation, p-group, algebraic torus.

Full text: dvi.gz 23 k, dvi 49 k, ps.gz 656 k, pdf.gz 132 k, pdf 152 k.

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