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

Roland Lötscher; Mark MacDonald; Aurel Meyer; Zinovy Reichstein

doi:10.2140/ant.2013.7.1817

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Home > Journals > Algebra Number Theory > Volume 7 > Issue 8 > Article

2013 Essential $p$-dimension of algebraic groups whose connected component is a torus

Roland Lötscher, Mark MacDonald, Aurel Meyer, Zinovy Reichstein

Algebra Number Theory 7(8): 1817-1840 (2013). DOI: 10.2140/ant.2013.7.1817

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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.

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Roland Lötscher. Mark MacDonald. Aurel Meyer. Zinovy Reichstein. "Essential $p$-dimension of algebraic groups whose connected component is a torus." Algebra Number Theory 7 (8) 1817 - 1840, 2013. https://doi.org/10.2140/ant.2013.7.1817

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Received: 24 February 2012; Revised: 9 September 2012; Accepted: 23 October 2012; Published: 2013

First available in Project Euclid: 20 December 2017

zbMATH: 1288.20061

MathSciNet: MR3134035

Digital Object Identifier: 10.2140/ant.2013.7.1817

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Primary: 11E72 , 20G15

Keywords: algebraic torus , Essential dimension , generically free representation , twisted finite group

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Roland Lötscher, Mark MacDonald, Aurel Meyer, Zinovy Reichstein "Essential $p$-dimension of algebraic groups whose connected component is a torus," Algebra & Number Theory, Algebra Number Theory 7(8), 1817-1840, (2013)

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