Characters of Finite Quasigroups

@article{Johnson1984CharactersOF,
  title={Characters of Finite Quasigroups},
  author={Kenneth W. Johnson and Jonathan D. H. Smith},
  journal={Eur. J. Comb.},
  year={1984},
  volume={5},
  pages={43-50}
}
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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References

Publications referenced by this paper.
Showing 1-8 of 8 references

Loop transversals and the centraliser ring of a permutation group , Math

  • K. W. Johnson
  • Proc . Camb . Phil . Soc .
  • 1981

Centraliser rings of multiplication groups on quasigroups , Math

  • J. D. H. Smith
  • Proc . Camb . Phil . Soc .
  • 1977

Suborbits in transitive permutation groups, in Combinatorics

  • P. J. Cameron
  • Mathematical Centre,
  • 1975

The Krein condition , spherical designs , Norton algebras and permutation groups , Indag

  • J. M. Goethals, J. J. Seidel
  • Mathematical Centre , Amsterdam
  • 1975

On pseudo groups

  • R. Brauer
  • J. Math. Soc. Japan
  • 1968
1 Excerpt

Contributions to the theory of loops

  • R. H. Bruck
  • Trans. A mer. Math. Soc
  • 1946

Nets and groups I

  • R. Baer
  • Trans. A mer. Math. Soc
  • 1939
1 Excerpt

Tamaschke , SRinge und verallgemeinerte Charaktere auf endlichen Gruppen ,

  • O.
  • Math . Zeitschr .

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