Skip to main content
Log in

Group rings of circle and unit groups

  • Published:
Mathematische Zeitschrift 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. Ault, J. C., Watters, J. F.: Circle groups of nilpotent rings. Amer. math. Monthly80, 48–52 (1973)

    Google Scholar 

  2. Bachmann, F., Grünenfelder, L.: Homological methods and the third dimension subgroup. Commentarii math. Helvet.47, 526–531 (1972)

    Google Scholar 

  3. Bergman, G. M., Dicks, W.: On universal derivations. To appear in J. Algebra

  4. Bovdi, A. A.: Group Rings (Russian) Ušgorod: Ušgorodskiî Gosudarstvennyî Universitet 1974

    Google Scholar 

  5. Eldridge, K. E.: On rings and groups of units. In: Coll. Math. Soc. János Bolyai6. Rings, Modules and Radicals. Keszthely (Hungary), 1971, pp. 171–191 (A. Kertész, ed.). Amsterdam: North Holland 1973

    Google Scholar 

  6. Gruenberg, K. W., Roseblade, J. E.: The augmentation terminals of certain locally finite groups. Canadian J. Math.24, 221–238 (1972)

    Google Scholar 

  7. Kaljulaid, U.: On the powers of the augmentation ideal (Russian). Izvestija Akad. Nauk Èston. SSR, Fiz. Mat.22, 1–21 (1973)

    Google Scholar 

  8. Kaloujnine, L.: Zum Problem der Klassification der endlichen metabelschenp-Gruppen. Wiss. Z. Humboldt-Univ. Berlin, math.-naturw. R.4, 1–7 (1955)

    Google Scholar 

  9. Kargapolov, M. I.: On solvable groups of finite rank (Russian). Algebra Logika1962, no. 5, 37–44

    Google Scholar 

  10. Kruse, R. L.: On the circle group of a nilpotent ring. Amer. math. Monthly77, 168–170 (1970)

    Google Scholar 

  11. Kruse, R. L., Price, D. T.: Nilpotent Rings. New York: Gordon and Breach 1969

    Google Scholar 

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

    Google Scholar 

  13. Losey, G.:N-series and filtrations of the augmentation ideal. Canadian J. Math.26, 962–977 (1974)

    Google Scholar 

  14. Neroslavskiî, O. M.: Nilpotent groups that are the adjoint groups of rings (Russian). Izvestija Akad. Nauk BSSR, Ser. fiz.-mat. Nauk1971, no. 2, 122–124

  15. Passi, I. B. S.: Polynomial functors. Proc. Cambridge philos. Soc.66, 505–512 (1969)

    Google Scholar 

  16. Passi, I. B. S., Sehgal, S. K.: Isomorphism of modular group algebras. Math. Z.129, 65–73 (1972)

    Google Scholar 

  17. Passi, I. B. S., Sehgal, S. K.: Group Rings. New York: M. Dekker, to appear

  18. Passi, I. B. S., Sharma, S.: The third dimension subgroup modn. To appear in J. London math. Soc., II. Ser.

  19. Passman, D. S.: Advances in group rings. To appear in Israel J. Math.

  20. Rips, E.: On the fourth integer dimension subgroup. Israel J. Math.12, 342–346 (1972)

    Google Scholar 

  21. Sandling, R.: Note on the integral group ring problem. Math. Z.124, 255–258 (1972)

    Google Scholar 

  22. Sandling, R.: The dimension subgroup problem. J. Algebra21, 216–231 (1972)

    Google Scholar 

  23. Sandling, R.: Dimension subgroups over arbitrary coefficient rings. J. Algebra21, 250–265 (1972)

    Google Scholar 

  24. Sehgal, S. K.: On the isomorphism of integral group rings. I. Canadian J. Math.21, 410–413 (1969)

    Google Scholar 

  25. Sehgal, S. K.: On the isomorphism of integral group rings. II. Canadian J. Math.21, 1182–1188 (1969)

    Google Scholar 

  26. Sehgal, S. K.: Certain algebraic elements in group rings. To appear.

  27. Zaleskii, A. E., Mihalev, A. V.: Group rings (Russian). In: Sovremennye Problemy Matematiki, Tom 2, pp. 5–118. Moscow: Itogi Nauki i Tehniki 1973

    Google Scholar 

  28. Ziegenbalg, J.: Periodische Normalteiler von Gruppenbasen isomorpher Gruppenringe. Dissertation, Eberhard-Karls-Universität zu Tübingen (1972)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sandling, R. Group rings of circle and unit groups. Math Z 140, 195–202 (1974). https://doi.org/10.1007/BF01214162

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214162

Keywords

Navigation