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On groups of automorphisms of a class of surfaces

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Abstract

In this note we describe the group of automorphisms of a commutative algebra with three generatorsx, y andz satisfying a relationxy= P(z), whereP(z) is a polynomial.

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References

  1. P. M. Cohn,Free Rings and their Relations, second edition, Academic Press, New York, 1985.

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  2. V. I. Danilov and M. H. Gizatulin,Automorphisms of affine surfaces, I Izv. Akad. Nauk SSSR, Ser. Mat.39 (1975), 523–565. English translation: Math. USSR, Izv.9 (1975), 493–534.

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  3. V. I. Danilov and M. H. Gizatulin,Automorphisms of affine surfaces, II, Izv. Akad. Nauk SSSR, Ser. Mat.41 (1977), 54–103. English translation: math. USSR, Izv.11 (1977), 51–98.

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Authors and Affiliations

  1. Department of Mathematics, Wayne State University, 48202, Detroit, MI, USA

    L. Makar-Limanov

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  1. L. Makar-Limanov
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Additional information

The author was visiting Bar-Ilan and Tel-Aviv Universities while working on this project. He is deeply thankful for hospitality rendered.

The author is supported by an NSF grant.

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Makar-Limanov, L. On groups of automorphisms of a class of surfaces. Israel J. Math. 69, 250–256 (1990). https://doi.org/10.1007/BF02937308

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  • DOI: https://doi.org/10.1007/BF02937308

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