Skip to main content
Log in

Infinite steinberg groups

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

The Steinberg group over a ring along an arbitrary set is defined. Its properties, structure, and isomorphism theory are studied.

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. Bass, H., AlgebraicK-Theory, Benjamin, New York 1968.

    Google Scholar 

  2. Magurn, B.A. (Ed.), Reviews inK-Theory 1940–84, Amer. Math. Soc., Providence, R.I., 1985.

    Google Scholar 

  3. Milnor, J. Introduction to AlgebraicK-Theory, Annals of Math. Studies, 72, Princeton, 1971.

  4. Li Fu-an,Finite presentability of Steinberg groups over group rings, Acta Math. Sinica (New Ser.),5 (1989), 297–301.

    Article  Google Scholar 

  5. Li Fu-an,Decomposition of Steinberg groups, Chinese Science Bulletin,37 (1992), 1244–1248.

    Google Scholar 

  6. Li Fu-an,Isomorphisms of stable Steinberg groups, Chinese Annals of Math.,14B (1993), 183–188.

    Google Scholar 

  7. O'Meara, O.T.,A general isomorphism theory for linear groups, J. Algebra,44 (1977), 93–142.

    Article  MATH  MathSciNet  Google Scholar 

  8. Petechuk, V.M.,Automorphisms of matrix groups over commutative rings, Math. USSR Sb.,45 (1983), 527–542.

    Article  MATH  Google Scholar 

  9. Sharpe, R.W.,On the structure of the Steinberg group St(Λ), J. Algebra,68 (1981), 453–467.

    Article  MATH  MathSciNet  Google Scholar 

  10. Silvester, J.R., Introduction to AlgebraicK-Theory, Chapman and Hall, London-New York, 1981.

    Google Scholar 

  11. Steinberg, R., Générateurs, relations et revêtements de groupes algebriques, in: Colloq. Théorie des groupes algebriques, Bruxelles, 1962.

  12. Steinberg, R., Lectures on Chevalley Groups, (Note prepared by J. Faulkner and R. Wilson), Yale Univ., New Haven, 1968.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported by the National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fuan, L. Infinite steinberg groups. Acta Mathematica Sinica 10, 149–157 (1994). https://doi.org/10.1007/BF02580422

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02580422

Keywords

Navigation