Skip to main content
SpringerLink
Log in

The Coordinate Group of an Affine Space Over a Rigid Metabelian Pro-p-group

  • Published:
Algebra and Logic Aims and scope

For a finitely generated 2-step solvable 2-graded rigid pro-p-group G, the coordinate group of an affine space Gm is found and the space Gm is stated to be irreducible in the Zariski topology.

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

References

  1. S. G. Afanas’eva and N. S. Romanovskii, “Rigid metabelian pro-p-groups,” Algebra and Logic, 53, No. 2, 102-113 (2014).

    Article  Google Scholar 

  2. S. G. Melesheva, “Equations and algebraic geometry over profinite groups,” Algebra and Logic, 49, No. 5, 444-455 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  3. G. Baumslag, A. Myasnikov, and V. Remeslennikov, “Algebraic geometry over groups. I: Algebraic sets and ideal theory,” J. Alg., 219, No. 1, 16-79 (1999).

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Myasnikov and V. N. Remeslennikov, “Algebraic geometry over groups. II: Logical foundations,” J. Alg., 234, No. 1, 225-276 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  5. V. N. Remeslennikov and N. S. Romanovskii, “Irreducible algebraic sets in metabelian groups,” Algebra and Logic, 44, No. 5, 336-347 (2005).

    Article  MathSciNet  Google Scholar 

  6. N. S. Romanovskii, “Coproducts of rigid groups,” Algebra and Logic, 49, No. 6, 539-550 (2010).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    S. G. Afanas’eva

Authors
  1. S. G. Afanas’eva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. G. Afanas’eva.

Additional information

*Supported by RFBR, project No. 12-01-00084.

Translated from Algebra i Logika, Vol. 53, No. 3, p. 295-299, May-June, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Afanas’eva, S.G. The Coordinate Group of an Affine Space Over a Rigid Metabelian Pro-p-group. Algebra Logic 53, 187–190 (2014). https://doi.org/10.1007/s10469-014-9282-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10469-014-9282-9

Keywords

Search

Navigation