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Application of multihomogeneous covariants to the essential dimension of finite groups

Lötscher, Roland. (2008) Application of multihomogeneous covariants to the essential dimension of finite groups. arXiv.org e-Print archive [Elektronische Daten], 2008, arXiv:0811.3852. pp. 1-34.

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Abstract

We investigate essential dimension of finite groups over arbitrary fields and give a systematic treatment of multihomogenization, introduced by H.Kraft, G.Schwarz and the author. We generalize the central extension theorem of Buhler and Reichstein and use multihomogenization to substitute and generalize the stack-involved part of the theorem of Karpenko and Merkurjev about the essential dimension of p-groups. One part of this paper is devoted to the study of completely reducible faithful representations. Amongst results concerning faithful representations of minimal dimension there is a computation of the minimal number of irreducible components needed for a faithful representation.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft)
UniBasel Contributors:Lötscher, Roland
Item Type:Article
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:Los Alamos National Laboratory
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Last Modified:28 Sep 2017 11:33
Deposited On:22 Mar 2012 13:57

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