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On the unit group of a commutative group ring (1305.3179v1)
Published 14 May 2013 in math.AC, math.GR, and math.RA
Abstract: We investigate the group of normalized units of the group algebra $\mathbb{Z}{pe}G$ of a finite abelian $p$-group $G$ over the ring $\mathbb{Z}{pe}$ of residues modulo $pe$ with $e\geq 1$.