Alexander Duncan and Zinovy Reichstein: Pseudo-reflection groups and essential dimension and

Submission: 2013, Jul 23

We give a simple formula for the essential dimension of a pseudo-reflection group at a prime p. Additionally, we determine the absolute essential dimension in most cases. 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 given prime.

2010 Mathematics Subject Classification: 20F55, 20D15

Keywords and Phrases: Essential dimension, pseudo-reflection group, p-group

Full text: dvi.gz 50 k, dvi 110 k, ps.gz 938 k, pdf.gz 212 k, pdf 238 k.

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