Date: 30 Mar 2011

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.

Supported in part by “ARRS—Agencija za raziskovanje Republike Slovenije”, program no. P1-0285.