@Book{1987235355, author="Gr{\"u}ttm{\"u}ller, Martin and Rees, Rolf S. and Shalaby, Nabil", title="Cyclically indecomposable triple systems that are decomposable", series="Preprints aus dem Institut f{\"u}r Mathematik", year="2005", address="Germany; Rostock", abstract="In this paper we investigate exhaustively the cyclically indecomposable triple systems TS$\lambda$(v) for $\lambda$ = 2, v ≤ 33 and $\lambda$ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability.", note="Martin Gr{\"u}ttm{\"u}ller, Rolf Rees and Nabil Shalaby", doi="10.18453/rosdok_id00005896", url="https://purl.uni-rostock.de/rosdok/id00005896", url="https://doi.org/10.18453/rosdok_id00005896", language="English" }