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20-XX Group theory and generalizations
20Kxx Abelian groups
20K10 Torsion groups, primary groups and generalized primary groups

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$G$ -nilpotent units of commutative group rings

Peter Vassilev Danchev (2012)

Commentationes Mathematicae Universitatis Carolinae

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 $R G$ are $G$ -nilpotent. This extends recent results published in [Extracta Math., 2008–2009] and [Ann. Sci. Math. Québec, 2009].

Generalized Dieudonné and Honda criteria for primary Abelian groups.

Danchev, P.V. (2008)

Acta Mathematica Universitatis Comenianae. New Series

Generalized Dieudonné criterion.

Danchev, P. (2005)

Acta Mathematica Universitatis Comenianae. New Series

Group algebras of abelian groups

Donna Beers, Fred Richman, Elbert A. Walker (1983)

Rendiconti del Seminario Matematico della Università di Padova

Currently displaying 1 – 4 of 4