The table of characters of some quasigroups

• Autorzy: Grzegorz Bińczak , Joanna Kaleta
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

quasigroups; eigenvectors; eigenspaces; characters of quasigroups

Kategorie tematyczne

• 20N05: Loops, quasigroups

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2007
• Tom: 27
• Numer: 2
• Strony: 147-167

Daty

wydano

2007

otrzymano

2006-04-29

poprawiono

2006-07-18

Twórcy

autor

Grzegorz Bińczak

• Institute of Mathematics, Warsaw University of Technology Pl. Politechniki 1, 00-661 Warszawa, Poland

autor

Joanna Kaleta

• Department of Applied Mathematics, Warsaw Agriculture University Nowoursynowska 166, PL-02-766 Warsaw, Poland

Bibliografia

• [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.

Identyfikatory

DOI

10.7151/dmgaa.1124