Geodesic
$G$-nilpotent units of commutative group rings
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 179-187

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Suppose $R$ is a commutative unital ring and $G$ is an abelian group. We give a general criterion only in terms of $R$ and $G$ when all normalized units in the commutative group ring $RG$ are $G$-nilpotent. This extends recent results published in [Extracta Math., 2008--2009] and [Ann. Sci. Math. Québec, 2009].
Classification : 16S34, 16U60, 20K10, 20K20, 20K21
Keywords: group rings; normalized units; nilpotents; idempotents; decompositions; abelian groups 
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     author = {Danchev, Peter},
     title = {$G$-nilpotent units of commutative group rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {179--187},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {2012},
     mrnumber = {3017253},
     zbl = {1255.16042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2012__53_2_a1/}
}
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Danchev, Peter. $G$-nilpotent units of commutative group rings. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 179-187. http://geodesic.mathdoc.fr/item/CMUC_2012__53_2_a1/