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Bound for the order for p-elementary subgroups in the plane cremona group over a perfect field

Part of: Birational geometry

Published online by Cambridge University Press:  19 November 2012

A. L. Fomin
A. L. Fomin*
Affiliation:
Department of Higher Algebra, Faculty of Mechanics and Mathematics, Moscow State Lomonosov University, Vorobievy Gory, Moscow 119899, Russia ([email protected])
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Abstract

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We obtain a sharp bound for p-elementary subgroups in the Cremona group Cr2(k) over an arbitrary perfect field k.

Keywords

Cremona groupfinite subgroupsp-groups

MSC classification

Secondary: 14E07: Birational automorphisms, Cremona group and generalizations
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 2 , June 2013 , pp. 509 - 513
Copyright
Copyright © Edinburgh Mathematical Society 2013

References

1.Beauville, A., p-elementary subgroups of the Cremona group, J. Alg. 314 (2007) 553–564.CrossRefGoogle Scholar
2.Dolgachev, I. V. and Iskovskikh, V. A., On elements of prime order in the plane Cremona group over a perfect field, Int. Math. Res. Not. 18 (2009), 3467–3485.Google Scholar
3.Serre, J.-P., Bounds for the order of finite subgroup of G(k), in Group representation theory (ed. Geck, M., Testerman, D. and Thévenaz, J.), Fundamental Sciences (EPFL Press, Lausanne, 2006).Google Scholar
4.Voskresenskii, V. E., Algebraic groups and their birational invariants, Translations of Mathematical Monographs, Volume 179 (American Mathematical Society, Providence, RI, 1998).Google Scholar