Essential dimension

Essential dimension

In mathematics, essential dimension is an invariant defined for certain algebraic structures such as algebraic groups and quadratic forms. It was introduced by J. Buhler and Z. Reichstein [ cite journal|title=On the essential dimension of a finite group|journal=Compositio Mathematica|date=1997|first=J.|last=Buhler|coauthors=Reichstein, Z. |volume=106|issue=|pages=159--179|id= |url=|format=|accessdate=2008-04-15|doi=10.1023/A:1000144403695 ] and in its most generality defined by A. Merkurjev. [ cite journal|title=Essential Dimension: a Functorial Point of View (after A. Merkurjev)|journal=Documenta Mathematica|date=2003|first=G.|last=Berhuy|coauthors=Favi, G. |volume=8|issue=|pages=279--330 (electronic)|id= |url=|format=|accessdate=2008-04-15 ]

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