Skip to main content
Log in

Quasi-formations

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

We define quasi-formations, a generalization of formations of finite groups. For a quasi-formation \(\mathcal{C}\) we construct an analogue of a free pro-\(\mathcal{C}\) group.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. M. S. Dey, Embeddings in non-Hopf groups, Journal of the London Mathematical Society 2 (1969), 745–749.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. Fried, E-Hilbertianity and quasi-formations, Ph.D. Thesis, Tel Aviv University, 2017.

    Google Scholar 

  3. M. D. Fried and M. Jarden, Field Arithmetic, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 11, Springer, Berlin, 2008.

    Google Scholar 

  4. D. Haran and M. Jarden, Regular split embedding problems over function fields of one variable over ample fields, Journal of Algebra 208 (1998), 147–164.

    Article  MathSciNet  MATH  Google Scholar 

  5. D. Haran and H. Völklein, Galois groups over complete valued fields, Israel Journal of Mathematics 93 (1996), 9–27.

    Article  MathSciNet  MATH  Google Scholar 

  6. D. Harbater, Fundamental groups and embedding problems in characteristic p, in Recent Developments in the Inverse Galois Problem, Contemporary Mathematics, Vol. 186, American Mathematical Society, Providence, RI, 1995, pp. 353–370.

    Chapter  Google Scholar 

  7. D. Harbater, On function fields with free absolute Galois groups, Journal für die Reine und Angewandte Mathematik 632 (2009), 85–103.

    MathSciNet  MATH  Google Scholar 

  8. S. Lang, Algebra, Graduate Texts in Mathematics, Vol. 211, Springer, New York, 2002.

    Google Scholar 

  9. F. Pop, Étale Galois covers of affine smooth curves, Inventiones Mathematicae 120 (1995), 555–578.

    Article  MathSciNet  MATH  Google Scholar 

  10. L. Ribes and P. Zalesskii, Profinite Groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 40, Springer, Berlin, 2000.

    Google Scholar 

  11. J. J. Rotman, An Introduction to the Theory of Groups, Graduate Texts in Mathematics, Vol. 48, Springer, New York, 1995.

    Google Scholar 

  12. J.-P. Serre, A Course in Arithmetic, Graduate Texts in Mathematics, Vol. 7, Springer, New York, Heidelberg, 1973.

    Google Scholar 

  13. J. Sonn, SL2(5) and Frobenius Galois groups over Q, Canadian Journal of Mathematics 32 (1980), 281–293.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dan Haran.

Additional information

Research supported by ISF grant No. 696/13.

A part of a Ph.D. Thesis [Fri] done at Tel Aviv University under the supervision of the second author.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fried, S., Haran, D. Quasi-formations. Isr. J. Math. 229, 193–217 (2019). https://doi.org/10.1007/s11856-018-1795-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11856-018-1795-9

Navigation