Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems
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Publication:1598800
DOI10.1016/S0012-365X(01)00178-9zbMath0994.05032MaRDI QIDQ1598800
Publication date: 28 May 2002
Published in: Discrete Mathematics (Search for Journal in Brave)
Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Triple systems (05B07)
Related Items (15)
New results on large sets of Kirkman triple systems ⋮ A construction for large sets of disjoint Kirkman triple systems ⋮ Large sets of resolvable Mendelsohn triple systems of prime power sizes ⋮ Large sets of Kirkman triple systems of prime power sizes ⋮ More results on large sets of Kirkman triple systems ⋮ Tripling construction for large sets of resolvable directed triple systems ⋮ On large sets of Kirkman triple systems and 3-wise balanced design. ⋮ Further results on large sets of Kirkman triple systems ⋮ More large sets of resolvable MTS and DTS with even orders ⋮ More large sets of resolvable MTS and resolvable DTS with odd orders ⋮ Large sets of Kirkman triple systems with order \(q^n + 2\) ⋮ Direct constructions of large sets of Kirkman triple systems ⋮ Large sets of Kirkman triple systems of orders \(2^{2 n + 1} + 1\) ⋮ A tripling construction for overlarge sets of KTS ⋮ Transitive resolvable idempotent quasigroups and large sets of resolvable Mendelsohn triple systems
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