SYMMETRIES OF ARCS

Authors
OKEEFE CM PENTTILA T
Citation
Cm. Okeefe et T. Penttila, SYMMETRIES OF ARCS, J COMB TH A, 66(1), 1994, pp. 53-67
Citations number
21
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
66
Issue
1
Year of publication
1994
Pages
53 - 67
Database
ISI
SICI code
0097-3165(1994)66:1<53:SOA>2.0.ZU;2-X
Abstract
Korchmaros has classified (q+2)-arcs of PG(2,q), q even, which have a transitive collineation stabiliser. In this paper we characterise (q 1)-arcs, q-arcs, and (q - 1)-arcs of PG(2, q), q even, which have a t ransitive homography stabiliser as conics, translation q-arcs, and mon omial (q - 1)-arcs, respectively (although for (q - 1)-arcs we need th e hypothesis that q/4 is not a twelfth power). (C) 1994 Academic Press , Inc.