The table of characters of some quasigroups
Grzegorz Bińczak; Joanna Kaleta
Discussiones Mathematicae - General Algebra and Applications (2007)
- Volume: 27, Issue: 2, page 147-167
- ISSN: 1509-9415
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topGrzegorz Bińczak, and Joanna Kaleta. "The table of characters of some quasigroups." Discussiones Mathematicae - General Algebra and Applications 27.2 (2007): 147-167. <http://eudml.org/doc/276877>.
@article{GrzegorzBińczak2007,
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).},
author = {Grzegorz Bińczak, Joanna Kaleta},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {quasigroups; eigenvectors; eigenspaces; characters of quasigroups; representations of quasigroups; permutation representations; character tables},
language = {eng},
number = {2},
pages = {147-167},
title = {The table of characters of some quasigroups},
url = {http://eudml.org/doc/276877},
volume = {27},
year = {2007},
}
TY - JOUR
AU - Grzegorz Bińczak
AU - Joanna Kaleta
TI - The table of characters of some quasigroups
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2007
VL - 27
IS - 2
SP - 147
EP - 167
AB - 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).
LA - eng
KW - quasigroups; eigenvectors; eigenspaces; characters of quasigroups; representations of quasigroups; permutation representations; character tables
UR - http://eudml.org/doc/276877
ER -
References
top- [1] O. Chein, H.O. Pflugfelder and J.D.H. Smith, Quasigroups and loops: theory and applications, Berlin 1990. Zbl0719.20036
- [2] K.W. Johnson and J.D.H. Smith, Characters of finite quasigroups, Eur. J. Comb. 5 (1984), 43-50. Zbl0537.20042
- [3] J.D.H. Smith, Representation Theory of Infinite Groups and Finite Quasigroups, Université de Montréal 1986. Zbl0609.20042
- [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. Zbl1080.20062
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