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arxiv: 1305.3179 · v1 · pith:XO3FPLYFnew · submitted 2013-05-14 · 🧮 math.AC · math.GR· math.RA

On the unit group of a commutative group ring

classification 🧮 math.AC math.GRmath.RA
keywords groupmathbbringabelianalgebracommutativefiniteinvestigate
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We investigate the group of normalized units of the group algebra $\mathbb{Z}_{p^e}G$ of a finite abelian $p$-group $G$ over the ring $\mathbb{Z}_{p^e}$ of residues modulo $p^e$ with $e\geq 1$.

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