4.0 Article

Essential dimension: a survey

Journal

TRANSFORMATION GROUPS
Volume 18, Issue 2, Pages 415-481

Publisher

SPRINGER BIRKHAUSER
DOI: 10.1007/s00031-013-9216-y

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Funding

  1. NSF [1160206]
  2. Direct For Mathematical & Physical Scien
  3. Division Of Mathematical Sciences [1160206] Funding Source: National Science Foundation

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In the paper we survey research on the essential dimension. The highlights of the survey are the computations of the essential dimensions of finite groups, groups of multiplicative type and the spinor groups. We present self-contained proofs of these cases and give applications in the theory of simple algebras and quadratic forms.

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