Application of Multihomogeneous Covariants to the Essential Dimension of Finite Groups
| dc.creator | Lötscher, Roland | |
| dc.date | 2008-11-24 | |
| dc.date.accessioned | 2026-07-07T10:20:39Z | |
| dc.date.available | 2026-07-07T10:20:39Z | |
| dc.description | 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. | |
| dc.description | 34 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0811.3852 | |
| dc.identifier | http://arxiv.org/abs/0811.3852 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174921 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14R20; 14L30; 20C20 | |
| dc.title | Application of Multihomogeneous Covariants to the Essential Dimension of Finite Groups | |
| dc.type | text |