Abstract. We investigate the group of normalized units of the group algebra $\mathbb Z_p^eG$ of a finite abelian $p$-group $G$ over the ring $\mathbb Z_p^e$ of residues modulo $p^e$ with $e\geq1$.

DOI: 10.14232/actasm-013-510-1

AMS Subject Classification (1991): 16S34, 16U60, 20C05

Keyword(s): group algebra, unitary unit, symmetric unit

Received January 31, 2013, and in revised form March 5, 2013. (Registered under 10/2013.)