Group structure computations in finite chain rings (Q1180653)

Using as a basic tool a theorem due to \textit{R. Sandling} [J. Pure Appl. Algebra 33, 337--346 (1984; Zbl 0543.20008)] ascerting the relation between structural constants of a finite Abelian \(p\)-group the author determines the additive structure of the powers \(M^s\) of the maximal ideal \(M\) of a finite chain ring \(R\) and, for \(R\) commutative with prime characteristic, the structure of its group \(R^*\) of units. A new proof is also added for the result of \textit{R. Raghavendran} [Compos. Math. 21, 195--229 (1969; Zbl 0179.33602)] on the structure of \(R^*\) for a Galois ring \(R\).