4.4 Article

Pseudo-reflection groups and essential dimension

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Publisher

WILEY
DOI: 10.1112/jlms/jdu056

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Funding

  1. National Science Foundation RTG [DMS 0838697, DMS 0943832]
  2. National Sciences and Engineering Research Council of Canada [250217-2012]

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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.

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