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) |
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UniBasel Contributors: | Lötscher, Roland |
Item Type: | Article |
Article Subtype: | Research Article |
Publisher: | Los Alamos National Laboratory |
Note: | Publication type according to Uni Basel Research Database: Journal article |
Language: | English |
edoc DOI: | |
Last Modified: | 28 Sep 2017 11:33 |
Deposited On: | 22 Mar 2012 13:57 |
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