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Free Subgroups of Units in Group Rings

Published online by Cambridge University Press:  20 November 2018

Jairo Zacarias Gonçalves
Jairo Zacarias Gonçalves*
Affiliation:
Instituto de Matemática e Estatística, Universidade De Sâo Paulo, Brasil
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Abstract

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In this paper we give necessary and sufficient conditions under which the group of units of a group ring of a finite group G over a field K does not contain a free subgroup of rank 2.

Some extensions of this results to infinite nilpotent and FC groups are also considered.

Keywords

Groupsfreenilpotent FC groupsgroup ringsgroup of units16A2620C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 3 , 01 September 1984 , pp. 309 - 312
Copyright
Copyright © Canadian Mathematical Society 1984

References

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