Transversal designs associated with frobenius groups
Copyright policy )Transversal designs associated with frobenius groups
To any Frobenius group G (of degree s, with Frobenius complement of order k) we associate an (s,k) -transversal design Δ(G) which admits G as a point-regular collineation group. Δ(G) is in fact also a dual translation net and furthermore admits a flag-regular collineation group. Also, Δ(G) has two orthogonal resolutions. Conversely, we will characterize the Frobenius groups among the point-regular collineation groups of resolvable transversal designs. We also exhibit two further classes of flag-regular transversal designs. Finally, we completely determine the possible parameters of TD's constructed as above.
- Justus Liebig University Giessen Germany
- Universität Augsburg Germany
transversal design, Frobenius group, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Orthogonal arrays, Latin squares, Room squares, dual translation net
transversal design, Frobenius group, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Orthogonal arrays, Latin squares, Room squares, dual translation net
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