Example of non-linearizable quasi-cyclic subgroup of automorphism group of polynomial algebra

Valeriy G. Bardakov; Mikhail V. Neshchadim

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arXiv · 1501.02626

Example of non-linearizable quasi-cyclic subgroup of automorphism group of polynomial algebra

Valeriy G. Bardakov·Mikhail V. Neshchadim

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Abstract

It is well known that every finite subgroup of automorphism group of polynomial algebra of rank 2 over the field of zero characteristic is conjugated with a subgroup of linear automorphisms. We prove that it is not true for an arbitrary torsion subgroup. We construct an example of abelian $p$-group of automorphism of polynomial algebra of rank 2 over the field of complex numbers, which is not conjugated with a subgroup of linear automorphisms.

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BibTeX RIS

Valeriy G. Bardakov, Mikhail V. Neshchadim. 2015-01-12. Example of non-linearizable quasi-cyclic subgroup of automorphism group of polynomial algebra. https://arxiv.org/abs/1501.02626

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