Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T21:36:35.539Z Has data issue: false hasContentIssue false
  • English
  • Français

Locally nilpotent skew linear groups II

Published online by Cambridge University Press:  20 January 2009

B. A. F. Wehrfritz
B. A. F. Wehrfritz
Affiliation:
Queen Mary College, London E1 4NS
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Our paper [6] studied in some depth certain locally nilpotent skew linear groups, but our conclusions there left some obvious gaps. By means of a trick, which now seems obvious, but then did not, we are able to tidy up the situation very satisfactorily. This present paper should be viewed as a follow up to [6]. In particular we do not repeat the motivation, basic definitions and references to related work given here.

The following was conjectured in [6], where substantial steps were taken towards its solution.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 3 , October 1987 , pp. 423 - 426
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

1.Cohn, P. M., Algebra Vol. 2 (John Wiley & Sons, London etc. 1977).Google Scholar
2.Passman, D. S., The Algebraic Structure of Group Rings (John Wiley & Sons, New York etc. 1977).Google Scholar
3.Robinson, D. J. S., Finiteness Conditions and Generalized Soluble Groups Vol. 1 (Springer-Verlag, Berlin etc. 1972).Google Scholar
4.Shirvani, M. and Wehrfritz, B. A. F., Skew Linear Groups (Cambridge University Press, 1986).Google Scholar
5.Wehrfritz, B. A. F., Locally finite normal subgroups of absolutely irreducible skew linear groups, J. London Math. Soc. (2) 32 (1985), 88–102.CrossRefGoogle Scholar
6.Wehrfritz, B. A. F., Locally nilpotent skew linear groups, Proc. Edinburgh Math. Soc. 29 (1986), 101–113.CrossRefGoogle Scholar
7.Wehrfritz, B. A. F., Soluble normal subgroups of skew linear groups, J. Pure Appl. Algebra 42 (1986), 95–107.CrossRefGoogle Scholar