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

Lötscher, Roland; MacDonald, Mark; Meyer, Aurel; Reichstein, Zinovy

doi:10.2140/ant.2013.7.1817

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

ISSN 1944-7833 (online)

ISSN 1937-0652 (print)

Author index

To appear

Other MSP journals

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

DOI: 10.2140/ant.2013.7.1817

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

Milestones

Received: 24 February 2012

Revised: 9 September 2012

Accepted: 23 October 2012

Published: 24 November 2013

Authors

Roland Lötscher
Mathematisches Institut Ludwig-Maximilians-Universität München D-80333 München Germany
http://www.mathematik.uni-muenchen.de/~lotscher/
Mark MacDonald
Department of Mathematics and Statistics Lancaster University Lancaster LA1 4YF United Kingdom
http://www.maths.lancs.ac.uk/~macdonam/
Aurel Meyer
Départment de Mathématiques Université Paris-Sud Bâtiment 425 91405 Orsay France
http://www.math.u-psud.fr/~ameyer/
Zinovy Reichstein
Department of Mathematics University of British Columbia 1984 Mathematics Road Vancouver, BC V6T1Z2 Canada
http://www.math.ubc.ca/~reichst

Vol. 7, No. 8, 2013