%0 Book %T Cyclically indecomposable triple systems that are decomposable %A Grüttmüller, Martin %A Rees, Rolf S. %A Shalaby, Nabil %S Preprints aus dem Institut für Mathematik %D 2005 %C Germany; Rostock %G English %F 1987235355 %O Martin Grüttmüller, Rolf Rees and Nabil Shalaby %X In this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 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. %L 510 %9 Text %R 10.18453/rosdok_id00005896 %U https://purl.uni-rostock.de/rosdok/id00005896 %U https://doi.org/10.18453/rosdok_id00005896