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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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.


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

Mathematics Subject Classification (2000)

05E15 05E18 05E30 20B25