Skip to main content
SpringerLink
Log in

Genus for virtually surface groups and pullbacks

  • Published:
Manuscripta Mathematica Aims and scope Submit manuscript

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

References

  1. Bauer, I., Catanese, F., Grunewald, F.: Beauville surfaces without real structures. In: Bogomolov, F., Tschinkel, Y. (eds.) Geometric Methods in Algebra and Number Theory, Progress in Mathematics, vol. 235, pp. 1–42. Birkhäuser, Basel (2005)

  2. Bessa V.R., Zalesskii P.A.: The genus of HNN-extensions. Math. Nachr. 286, 817–831 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bridson, M.R., Conder, M.D.E., Reid, A.W.: Determining Fuchsian groups by their finite quotients. arXiv:1401.3645

  4. Engler A., Haran D., Kochloukova D., Zalesskii P.A.: Normal subgroups of profinite groups of finite cohomological dimension. J. Lond. Math. Soc. 69, 317–332 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Grothendieck, A.: Revêtements étales et groupe fondamental. Lecture Notes in Mathematics, vol. 224. Springer, Berlin (1971)

  6. Grunewald F., Platonov V.P.: Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems. Duke Math. J. 100(2), 321–358 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  7. Grunewald F., Zalesskii P.A.: Genus for groups. J. Algebra 326, 130–168 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  8. Grunewald F., Jaikin-Zapirain A., Zalesskii P.A.: Cohomological goodness and the profinite completion of Bianchi groups. Duke Math. J. 144, 53–72 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  9. Kurosh, A.G.: The theory of groups, vol. II. Translated from the Russian and edited by K. A. Hirsch. Chelsea Publishing Company, New York, NY, 308 pp. (1956)

  10. Magnus W., Karrass A., Solitar D.: Combinatorial Group Theory. Presentations of Groups in Terms of Generators and Relations. Second revised edition. Dover, New York (1976)

    Google Scholar 

  11. Ribes, L., Zalesskii, P.A.: Profinite groups. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, vol. 40 (2000)

  12. Serre J-P.: Exemples de variéetés projectives conjuguées non homéomorphes. C. R. Acad. Sci. Paris 258, 4194–4196 (1964)

    MATH  MathSciNet  Google Scholar 

  13. Serre, J.-P.: Collected Papers IV. 1985–1998. Springer, Berlin (2000)

Download references

Author information

Authors and Affiliations

  1. Institute of Exact Sciences, Federal University of Viçosa, Campus Rio Paranaíba, Viçosa, MG, 38810-000, Brazil

    Vagner Bessa

  2. Mathematisches Institut, Heinrich-Heine-Universität, 40225, Düsseldorf, Germany

    Fritz Grunewald

  3. Departamento da matemática, Universidade de Brasilia, Sala A1-384/14, Brasília, DF, 70910-900, Brazil

    Pavel A. Zalesskii

Authors
  1. Vagner Bessa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fritz Grunewald
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Pavel A. Zalesskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pavel A. Zalesskii.

Additional information

Fritz Grunewald: Deceased

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bessa, V., Grunewald, F. & Zalesskii, P.A. Genus for virtually surface groups and pullbacks. manuscripta math. 145, 221–233 (2014). https://doi.org/10.1007/s00229-014-0677-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00229-014-0677-7

Mathematics Subject Classification

Search

Navigation