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On automorphisms of doubly resolvable designs

Invieed Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 829)

Abstract

A (v, k, 1)-BIBD D is said to be doubly resolvable if there exists a \(\frac{{\upsilon - 1}}{{k - 1}} \times \frac{{\upsilon - 1}}{{k - 1}}\) array A such that each cell of A is either empty or contains a block of D, each variety of D is contained in one cell of each row and column of A and every block of D is in some cell of A. In this paper, we investigate automorphisms of such arrays.

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References

  1. L.J. Dickey and Ryoh Ruji-Hara, A geometrical construction for doubly resolvable (n2+n+1,1)-designs, Ars Combin. 8 (1979), 3–12.

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  3. R. Mathon and S.A. Vanstone, On the existence of doubly resolvable Kirkman systems and equidistant permutation arrays, Discrete Math. (to appear).

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  4. R.C. Mullin and W.D. Wallis, The existence of Room squares, Aequationes Math. 13 (1975), 1–7.

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© 1980 Springer-Verlag

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Fuji-Hara, R., Vanstone, S.A. (1980). On automorphisms of doubly resolvable designs. In: Robinson, R.W., Southern, G.W., Wallis, W.D. (eds) Combinatorial Mathematics VII. Lecture Notes in Mathematics, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088897

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  • DOI: https://doi.org/10.1007/BFb0088897

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10254-0

  • Online ISBN: 978-3-540-38376-5

  • eBook Packages: Springer Book Archive