On the maximality of the triangular subgroup

DOI10.5802/aif.3165zbMath1447.14008arXiv1605.06344OpenAlexW2963123828WikidataQ129841744 ScholiaQ129841744MaRDI QIDQ4557637

Pierre-Marie Poloni, Jean-Philippe Furter

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06344

zbMATH Keywords

polynomial automorphismstriangular automorphismsind-groups

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Linear algebraic groups and related topics (20G99)

Related Items

Subgroups of elliptic elements of the Cremona group ⋮ Tits-type alternative for certain groups acting on algebraic surfaces ⋮ Algebraically generated groups and their Lie algebras ⋮ An algorithmic approach to the Polydegree Conjecture for plane polynomial automorphisms ⋮ Borel subgroups of the plane Cremona group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Normal subgroup generated by a plane polynomial automorphism
• A non-triangular action of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ 3\)
• Dixmier groups and Borel subgroups
• Polynomial automorphisms and the Jacobian conjecture
• On the length of polynomial automorphisms of the affine plane
• Closed subgroups of the polynomial automorphism group containing the affine subgroup
• On infinite dimensional algebraic transformation groups
• Derived length of solvable groups of local diffeomorphisms
• The soluble length of soluble linear groups
• Beweis eines Satzes über diskrete Gruppen
• Finite subgroups of PGL(2,K)
• On certain classes of infinite solvable groups
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• On the Closure of the Tame Automorphism Group of Affine Three-Space
• Dynamical properties of plane polynomial automorphisms
• Über ganze birationale Transformationen der Ebene.