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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 (fin-al@yandex.ru)
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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

Information

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

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4.Voskresenskii, V. E., Algebraic groups and their birational invariants, Translations of Mathematical Monographs, Volume 179 (American Mathematical Society, Providence, RI, 1998).Google Scholar