#### Vol. 7, No. 8, 2013

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Essential $p$-dimension of algebraic groups whose connected component is a torus

### Roland Lötscher, Mark MacDonald, Aurel Meyer and Zinovy Reichstein

Vol. 7 (2013), No. 8, 1817–1840
##### Abstract

Following up on our earlier work and the work of N. Karpenko and A. Merkurjev, we study the essential $p$-dimension of linear algebraic groups $G$ whose connected component ${G}^{0}$ is a torus.

##### Keywords
essential dimension, algebraic torus, twisted finite group, generically free representation
##### Mathematical Subject Classification 2010
Primary: 20G15, 11E72