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2014 | OriginalPaper | Chapter

16. Finite Simple Groups of Small Essential Dimension

Author : Arnaud Beauville

Published in: Trends in Contemporary Mathematics

Publisher: Springer International Publishing

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Abstract

We discuss the notion of essential dimension of a finite group (over \(\mathbb{C}\)) and explain its relation with birational algebraic geometry. We show how this leads to a (partial) classification of simple finite groups of essential dimension ≤ 3.

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previous chapter Tracking Control of 1D Scalar Conservation Laws in the Presence of Shocks

next chapter Geometric Constructions of Extremal Metrics on Complex Manifolds

I am indebted to A. Duncan for this observation.

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Title: Finite Simple Groups of Small Essential Dimension
Author: Arnaud Beauville
Publisher: Springer International Publishing
Book: Trends in Contemporary Mathematics
Print ISBN: 978-3-319-05253-3

Electronic ISBN: 978-3-319-05254-0

Copyright Year: 2014
DOI: https://doi.org/10.1007/978-3-319-05254-0_16

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