V. I. Danilov, “Nonsimplicity of the group of unimodular automorphisms of the affine plane”, Mat. Zametki, 15:2 (1974), 289–293; Math. Notes, 15:2 (1974), 165

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Matematicheskie Zametki, 1974, Volume 15, Issue 2, Pages 289–293 (Mi mzm7348)

This article is cited in 7 scientific papers (total in 7 papers)

Nonsimplicity of the group of unimodular automorphisms of the affine plane

V. I. Danilov

Central Economics and Mathematics Institute, Academy of Sciences of the USSR

Full-text PDF (328 kB) Citations (7)

Abstract: It is proven that the group of automorphisms of the affine plane (as an algebraic manifold), with Jacobian equal to 1, is not simple.

Received: 26.06.1972

English version:
Mathematical Notes, 1974, Volume 15, Issue 2, Pages 165–167
DOI: https://doi.org/10.1007/BF02102400

Bibliographic databases:

UDC: 513

Language: Russian

Citation: V. I. Danilov, “Nonsimplicity of the group of unimodular automorphisms of the affine plane”, Mat. Zametki, 15:2 (1974), 289–293; Math. Notes, 15:2 (1974), 165–167

Citation in format AMSBIB

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\pages 289--293

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\zmath{https://zbmath.org/?q=an:0309.12104|0295.12102}

\transl

\jour Math. Notes

\yr 1974

\vol 15

\issue 2

\pages 165--167

\crossref{https://doi.org/10.1007/BF02102400}

Linking options:

https://www.mathnet.ru/eng/mzm7348

https://www.mathnet.ru/eng/mzm/v15/i2/p289

This publication is cited in the following 7 articles:

Stéphane Lamy, Anne Lonjou, “Introduction to a small cancellation theorem”, Confluentes Mathematici, 13:1 (2021), 79
S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and His Mathematical Heritage”, Proc. Steklov Inst. Math., 307 (2019), 1–21
Cantat S., “The Cremona Group”, Algebraic Geometry: Salt Lake City 2015, Pt 1, Proceedings of Symposia in Pure Mathematics, 97, no. 1, ed. DeFernex T. Hassett B. Mustata M. Olsson M. Popa M. Thomas R., Amer Mathematical Soc, 2018, 101–142
Dominique CERVEAU, Julie DÉSERTI, “Birational maps preserving the contact structure on $\mathbb{P}^3_\mathbb{C}$ ”, J. Math. Soc. Japan, 70:2 (2018)
Serge Cantat, Stéphane Lamy, Yves Cornulier, “Normal subgroups in the Cremona group”, Acta Math., 210:1 (2013), 31
Jean-Philippe Furter, Stéphane Lamy, “Normal subgroup generated by a plane polynomial automorphism”, Transformation Groups, 15:3 (2010), 577
I. R. Shafarevich, “On some infinite-dimensional groups. II”, Math. USSR-Izv., 18:1 (1982), 185–194

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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