Skip to main content
SpringerLink
Log in

Le Nombre D’images Homomorphes de Certains Groupes et Algèbres de Golod

  • Article
  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

We investigate homomorphic images of Golod algebras. We prove that some quotients of certain Golod algebras are Golod algebras too. We determine classes of Golod algebras and nilalgebras not satisfying Golod properties which have a continuum of non isomorphic homomorphic images. We establish analogous results for Lie algebras and p-groups of Golod type.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Références

  1. L. A. Bokut’, G. P. Kukin, Algorithmic and combinatorial algebra, Kluwer Academic Publishers 1994.

  2. E. S. Golod, Some problems of Burnside type, Amer. Math. Soc. Transl. Ser. 2, Vol. 84 (1969), 83–88.

    Google Scholar 

  3. R. I. Grigorchuk, Construction of p-groups of intermediate growth that have a continuum of quotient groups, Algebra and Logic, Vol. 23 (1984), No. 4, 265–273.

    Article  MathSciNet  MATH  Google Scholar 

  4. L. Hammoudi, Exemples de nil-algèbres et d’algèbres d’Engel de dimension infinie, Preprint Mulhouse (soumis à publication).

  5. L. Hammoudi, On Golod subalgebras, C.R. Math. Rep. Acad. Sci. Canada (à paraître).

  6. S. C. Jeanes, Counting the periodic groups generated by two finite groups, Bull. London Math. Soc. 12 (1980), 133–137.

    Article  MathSciNet  MATH  Google Scholar 

  7. B. H. Neumann, Some remarks on infinite groups, J. London Math. Soc. 12 (1937) 120–127.

    Google Scholar 

  8. R. E. Phillips, Embedding methods for periodic groups, Proc. London Math. Soc. (3) 35 (1977) 238–256.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. J. S. Robinson, Finiteness conditions and generalised soluble groups, Part. 1, Band 62, Springer 1972.

  10. A. V. Timofeenko, 2-Generator Golod p-groups, Algebra and Logic, Vol. 24 (1985), No. 2, 129–139.

    Article  MathSciNet  MATH  Google Scholar 

  11. A. V. Timofeenko, Infinite subgroups of infinite index in 2-generated p-groups of Golod type, (en Russe), Sibirsk. Mat. Zh. 27 (1986), No. 5, 194–195.

    MathSciNet  MATH  Google Scholar 

  12. E. B. Vinberg On a theorem on infinite dimensionality of an asssocitive algebra, Amer. Math. Soc. Transl. Ser. 2, Vol. 82 (1969), 237–242.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université de Haute-Alsace. F. S. T., Laboratoire de Mathématiques. 4, Rue des Frères Lumières, 68093, Mulhouse Cedex, France

    Lakhdar Hammoudi

Authors
  1. Lakhdar Hammoudi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lakhdar Hammoudi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hammoudi, L. Le Nombre D’images Homomorphes de Certains Groupes et Algèbres de Golod. Results. Math. 29, 227–232 (1996). https://doi.org/10.1007/BF03322220

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03322220

A. M. S. Classification

Key Words

Search

Navigation