A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five

Raúl M. Falcón, Laura Johnson, Stephanie Perkins

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

7 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. Particularly, we prove that the sizes of these critical sets only depend on both the main class of the Latin square and the cycle structure of the isotopism under consideration. Keeping then in mind that the autotopism group of a Latin square acts faithfully on the set of entries of the latter, we enumerate all the critical sets based on autotopisms of Latin squares of order up to five.
Iaith wreiddiolSaesneg
Tudalennau (o-i)261-295
Nifer y tudalennau34
CyfnodolynAIMS Mathematics
Cyfrol6
Rhif cyhoeddi1
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 10 Hyd 2020

Ôl bys

Gweld gwybodaeth am bynciau ymchwil 'A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

Dyfynnu hyn