Characters of Finite Quasigroups

  title={Characters of Finite Quasigroups},
  author={Kenneth W. Johnson and Jonathan D. H. Smith},
  journal={Eur. J. Comb.},
This paper sets out to sketch some of the basics of a character theory for finite non-empty quasigroups, generalising the traditional ordinary character theory for groups. At first sight such a task might seem to have little chance of success, since the group characters are traces of matrix representations which depend essentially on the presence of associativity. However, there are combinatorial theories available providing descriptions of group characters which do not involve matrix… CONTINUE READING

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