The strong Anick conjecture is true.

DOI10.4171/JEMS/92zbMath1161.16019arXivmath/0507170WikidataQ123110217 ScholiaQ123110217MaRDI QIDQ2478594

Jie-Tai Yu, Vesselin Drensky

Publication date: 28 March 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507170

zbMATH Keywords

tame automorphismsautomorphisms of free algebrasautomorphisms of polynomial algebraswild automorphisms, coordinates in free algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items

Stable tameness of automorphisms of \(F\langle x,y,z\rangle\) fixing \(z\). ⋮ Wild automorphisms of free metabelian algebras. ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ On the augmentation topology of automorphism groups of affine spaces and algebras ⋮ Coordinates and automorphisms of polynomial and free associative algebras of rank three. ⋮ Automorphisms of finitely generated relatively free bicommutative algebras ⋮ Degree estimate for commutators.

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