Pseudo-reflection groups and essential dimension
Algebraic Geometry
2015-06-12 v3
Abstract
We give a simple formula for the essential dimension of a finite pseudo-reflection group at a prime p and determine the absolute essential dimension for most irreducible pseudo-reflection groups. We also study the "poor man's essential dimension" of an arbitrary finite group, an intermediate notion between the absolute essential dimension and the essential dimension at a prime p.
Cite
@article{arxiv.1307.5724,
title = {Pseudo-reflection groups and essential dimension},
author = {Alexander Duncan and Zinovy Reichstein},
journal= {arXiv preprint arXiv:1307.5724},
year = {2015}
}
Comments
24 pages. Final version. To appear in J. Lond. Math. Soc