Finite simple groups of small essential dimension

2011/01/07 by Beauville, Arnaud · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1101.1372

Abstract

We discuss the notion of essential dimension of a finite group and explain its relation with birational algebraic geometry. We show how this leads to a (partial) classification of simple finite groups of essential dimension less than or equal to 3.

Cited by

• The essential and the Cremona dimensions of a group

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• Quasi-simple finite groups of essential dimension 3
• Essential Dimension of Small Finite Groups
• The Jordan property of Cremona groups and essential dimension
• Essential dimensions of finite groups
• Essential dimension of projective orthogonal and symplectic groups of small degree