On the unit group of a commutative group ring

Abstract

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 $e\ge 1$.

10 pages

References in corpus (1)

• Convolutional codes from units in matrix and group rings