DOCUMENTA MATHEMATICA, Vol. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010), 445-457

Aurel Meyer, Zinovy Reichstein

Some Consequences of the Karpenko-Merkurjev Theorem

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

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

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