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Mendelsohn designs admitting the affine group

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Abstract

All Mendelsohn designs containing a Frobenius group with cyclic complement of orderv − 1 as a subgroup of the automorphism are found. Furthermore, the automorphism group of each of the designs is constructed. These designs generalize Mendelsohn's construction of Mendelsohn designs containing a certain doubly transitive automorphism group.

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References

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Authors and Affiliations

  1. Department of Mathematics, North Texas State University, 76203, Denton, TX, USA

    Neal Brand

  2. Department of Mathematics, Loyola University of Chicago, 60626, Chicago, IL, USA

    W. Cary Huffman

Authors
  1. Neal Brand
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  2. W. Cary Huffman
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Additional information

The research on this paper was partially supported by North Texas State Faculty Research Grant #35524.

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Brand, N., Huffman, W.C. Mendelsohn designs admitting the affine group. Graphs and Combinatorics 3, 313–324 (1987). https://doi.org/10.1007/BF01788554

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  • DOI: https://doi.org/10.1007/BF01788554

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