Hostname: page-component-7f64f4797f-7vssv Total loading time: 0 Render date: 2025-11-04T02:07:49.716Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on central idempotents in group rings

Published online by Cambridge University Press:  20 January 2009

Sonia P. Coelho
Sonia P. Coelho
Affiliation:
Instituto de Matemática e Estatistica, Universidade de São Paulo, C.P. 20.570 (Ag. Iguatemi), 01000—S. Paulo, Brazil
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.

Let G be a group and K a field. We denote by (KG) the group of units of the group ring of G over K and for a group X we denote by T(X) the setof torsion elements of G i.e., the set of all elements of finite order.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 1 , February 1987 , pp. 69 - 72
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

1.Cliff, G. H. and Sehgal, S. K., Group rings whose units form an FC-group, Math. Z. 161 (1978), 163–168.CrossRefGoogle Scholar
2.Isaacs, I. M., Character Group Theory of Finite Groups (Academic Press, 1976).Google Scholar
3.Passman, D. S., The Algebraic Structure of Group Rings (Interscience, New York, 1977).Google Scholar
4.Polcino Milies, C., Group rings whose torsion units form a subgroup II, Comm. Alg. 9 (1981), 699–712.CrossRefGoogle Scholar
5.Sehgal, S. K., Topics in Group Rings (Marcel Dekker, New York, 1978).Google Scholar
6.Zassenhauss, H. J., The Theory of Groups (Chelsea Publishing Company, New York, 1949).Google Scholar