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Finite simple groups of small essential dimension

Abstract : We show that the only finite simple groups of essential dimension 3 (over C) are A_6 and possibly PSL(2,11). This is an easy consequence of the classification by Prokhorov of rationally connected threefolds with an action of a simple group.
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https://hal.archives-ouvertes.fr/hal-00756781
Contributor : Arnaud Beauville <>
Submitted on : Friday, November 23, 2012 - 4:56:23 PM
Last modification on : Monday, October 12, 2020 - 10:27:29 AM

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  • HAL Id : hal-00756781, version 1
  • ARXIV : 1101.1372

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Arnaud Beauville. Finite simple groups of small essential dimension. Trends in Contemporary Mathematics, 8, Springer, pp.221-228, 2014, Springer INdAM Series. ⟨hal-00756781⟩

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