Original Paper

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

, Volume 52, Issue 1, pp 83-103

First online:

A construction of the automorphism groups of indecomposable S-rings over \({Z_{2^n}}\)

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Abstract

Automorphism groups of indecomposable S-rings over cyclic groups \({Z_{2^n}}\) are considered. Such rings have been parameterized by atomic sequences, a collection of numerical data, introduced by the author (Lothar. Comb. 51 (Bb51h), 2005). In this paper an explicit construction of the groups is presented in terms of the atomic sequences.

Keywords

S-ring Decomposable S-ring Automorphism group of an S-ring

Mathematics Subject Classification (2000)

05E15 05E18 05E30 20B25