Open AccessClassification of (k;4)-arcs up to projective inequivalence, for k < 10
Author(s) -
Zainab Shehab Hamed,
J. W. P. Hirschfeld
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1591/1/012103
Subject(s) - projective test , stabiliser , projective line , mathematics , pure mathematics , combinatorics , discrete mathematics , projective space , chemistry , food science
In this paper, the classification of ( k ;4)-arcs up to projective inequivalence for k < 10 in PG(2,13) is introduced in details according to their inequivalent number, stabilisers, the action of each stabiliser on the associated arc, and the inequivalent classes N c of secant distributions of arcs. Here, the strategy is to start from the projective line PG(1,13) where there are three projectively inequivalent tetrads.