Ak-cap in PG(3,q) is a set of k points, no three of which are collinear. A k-cap is calledcomplete if it is not contained in a (k+1)-cap. The maximum valuem2(3, q) ofk for which there exists a k-cap in PG(3,q) is q2+1. Letm2(3, q) denote the size of the second largest complete k-cap in PG(3,q). This number is only known for the smallest values of q, namely for q=2, 3,4 (cf. , pp. 96–97 and , p. 303). In this paper we show thatm2(3,5)=20. We also prove that there are, up to isomorphism, only two complete 20-caps in PG(3,5) and determine their collineation groups.
|Titolo:||Classification of maximal caps in PG(3,5), different from elliptic quadrics|
|Data di pubblicazione:||1996|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/BF01229246|
|Appare nelle tipologie:||1.1 Articolo in rivista|