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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.

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Correspondence to István Kovács.

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

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Kovács, I. A construction of the automorphism groups of indecomposable S-rings over \({Z_{2^n}}\) . Beitr Algebra Geom 52, 83–103 (2011). https://doi.org/10.1007/s13366-011-0007-0

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