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ArticleOriginal scientific text

Title

The table of characters of some quasigroups

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Warsaw University of Technology Pl. Politechniki 1, 00-661 Warszawa, Poland
  2. Department of Applied Mathematics, Warsaw Agriculture University Nowoursynowska 166, PL-02-766 Warsaw, Poland

Abstract

It is known that (ℤₙ,-ₙ) are examples of entropic quasigroups which are not groups. In this paper we describe the table of characters for quasigroups (ℤₙ,-ₙ).

Keywords

ENG
quasigroups, eigenvectors, eigenspaces, characters of quasigroups

Bibliography

  1. O. Chein, H.O. Pflugfelder and J.D.H. Smith, Quasigroups and loops: theory and applications, Berlin 1990.
  2. K.W. Johnson and J.D.H. Smith, Characters of finite quasigroups, Eur. J. Comb. 5 (1984), 43-50.
  3. J.D.H. Smith, Representation Theory of Infinite Groups and Finite Quasigroups, Université de Montréal 1986.
  4. J.D.H. Smith, Combinatorial characters of quasigroups, pp. 163-187 in: Coding Theory and Design Theory, Part I: Coding Theory, (ed. Ray-Chaudhuri), Springer, New York, NY, 1990.
  5. J.D.H. Smith, Representation Theory of quasigroups, Sci. Math. Japonicae 60 (2004), 171-204.
Discussiones Mathematicae - General Algebra and Applications
2007/27/2
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Pages:
147-167
Main language of publication
English
Received
2006-04-29
Accepted
2006-07-18
Published
2007

DOI: 10.7151/dmgaa.1124

Exact and natural sciences