Skip to main content
Log in

The second augmentation quotient of an integral group ring

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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.

References

  1. J. C. Ault andJ. F. Watters, Circle groups of nilpotent rings. Amer. Math. Month,80, 48–52 (1973).

    Google Scholar 

  2. P. Bachmann andL. Grunenfelder, Homological methods and the third dimension sub-group. Comment. Math. Helv.47, 526–531 (1972).

    Google Scholar 

  3. L.Fuchs, Infinite Abelian groups I. New York-London 1970.

  4. G. Losey, On the structure ofQ 2(G) for finitely generated groups. Canad. J. Math.,25, 353–359 (1973).

    Google Scholar 

  5. O. M. Neroslavskii, Nilpotent groups which are adjoint groups of rings (Russian). Vesci Akad. Navuk BSSR Ser Fiz Mat. Navuk, No.2, 122–124 (1971).

    Google Scholar 

  6. I. B. S. Passi andS. Sharma, The third dimension subgroup modn. J. London Math. Soc.,9, 176–182 (1974).

    Google Scholar 

  7. R. Sandling, Dimension subgroups over arbitrary coefficient rings. J. Algebra,21, 250–265 (1972).

    Google Scholar 

  8. R. B.Warfield, Jr., Nilpotent groups. LNM No.513, Berlin 1976.

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors are thankful to the Mathematics Institute, University of Warwick, for its hospitality during the period this work was done. The first author was supported in part by NSP Grant No. MCS77-00433.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hales, A.W., Passi, I.B.S. The second augmentation quotient of an integral group ring. Arch. Math 31, 259–265 (1978). https://doi.org/10.1007/BF01226446

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01226446

Keywords

Navigation