An example of a nonlinearizable quasicyclic subgroup in the automorphism group of the polynomial algebra.

DOI10.1134/S0001434615070214zbMath1327.16031arXiv1501.02626MaRDI QIDQ887492

Valeriy G. Bardakov, Mikhail V. Neshchadim

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02626

zbMATH Keywords

\(p\)-subgroupsautomorphism groupspolynomial algebrasfree algebrasperiodic subgroupslinear automorphismsalgebras of formal power seriesquasicyclic subgroups

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

Cites Work

• Groups of triangular automorphisms of a free associative algebra and a polynomial algebra.
• Automorphism subgroups of the free Lie algebra of rank 3
• Equivariant algebraic vector bundles over representations of reductive groups: applications.
• Automorphisms of a Free Associative Algebra of Rank 2.I
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