Normal subgroup generated by a plane polynomial automorphism

DOI10.1007/s00031-010-9095-4zbMath1226.14080arXiv0910.1616OpenAlexW2107559890MaRDI QIDQ601757

Jean-Philippe Furter, Stéphane Lamy

Publication date: 29 October 2010

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1616

zbMATH Keywords

plane polynomial automorphism

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

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Birational maps preserving the contact structure on \(\mathbb{P}^3_\mathbb{C}\) ⋮ On the maximality of the triangular subgroup ⋮ Normal subgroups in the Cremona group ⋮ Automorphisms of certain affine complements in projective space ⋮ Normal subgroups generated by a single polynomial automorphism ⋮ Cancellation for Surfaces Revisited ⋮ Dixmier groups and Borel subgroups ⋮ Flexible varieties and automorphism groups ⋮ Acylindrical hyperbolicity of groups acting on trees ⋮ Co-tame polynomial automorphisms ⋮ Introduction to a small cancellation theorem

Cites Work

• Limits of tame automorphisms of \(k[x_ 1,\dots ,x_ N\)]
• Pro-affine algebras, ind-affine groups and the Jacobian problem. Appendix: Linear compactness for rings and modules
• Abelian subgroups of \(Aut_ k(\)k[X,Y) and applications to actions on the affine plane]
• Some basic results on pro-affine algebras and ind-affine schemes
• Jet groups
• On Dehn's algorithm
• Visualizing the word problem, with an application to sixth groups
• Dynamical properties of plane polynomial automorphisms
• Two-Dimensional Cremona Groups Acting on Simplicial Complexes
• Über ganze birationale Transformationen der Ebene.
• The Tits alternative for \(\text{Aut}[\mathbb C^2\)]
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