Gröbner bases and the number of Latin squares related to autotopisms of order ≤7

Latin squares can be seen as multiplication tables of quasigroups, which are, in general, non-commutative and non-associative algebraic structures. The number of Latin squares having a fixed isotopism in their autotopism group is at the moment an open problem. In this paper, we use Gröbner bases to...

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Bibliographic Details
Published in:	Journal of symbolic computation Vol. 42; no. 11; pp. 1142 - 1154
Main Authors:	Falcón, R.M., Martín-Morales, J.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.11.2007
Subjects:	Autotopism group Gröbner basis Latin square Gröbner basis Autotopism group Latin square
ISSN:	0747-7171, 1095-855X
Online Access:	Get full text
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