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Orthomorphism graphs of groups

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Abstract

We introduce the concept of the orthomorphism graph of a group. An r-clique of the orthomorphism graph of a group G corresponds to a set of r+1 mutually orthogonal latin squares based on the group G. In this paper we give constructions of nets, affine planes and cartesian groups using cliques of orthomorphism graphs and we discuss the relationship between properties of the cliques and properties of the nets constructed.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Wright State University, 45435, Dayton, Ohio

    Anthony B. Evans

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  1. Anthony B. Evans
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Evans, A.B. Orthomorphism graphs of groups. J Geom 35, 66–74 (1989). https://doi.org/10.1007/BF01222262

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  • DOI: https://doi.org/10.1007/BF01222262

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