Geodesic
Free Subgroups of Units in Group Rings
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 309-312

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DOI

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.
DOI : 10.4153/CMB-1984-046-7
Mots-clés : Groups, free, nilpotent FC groups, group rings, group of units, 16A26, 20C05 
Gonçalves, Jairo Zacarias. Free Subgroups of Units in Group Rings. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 309-312. doi: 10.4153/CMB-1984-046-7
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     author = {Gon\c{c}alves, Jairo Zacarias},
     title = {Free {Subgroups} of {Units} in {Group} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {309--312},
     year = {1984},
     volume = {27},
     number = {3},
     doi = {10.4153/CMB-1984-046-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-046-7/}
}
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