SOME PROPERTIES FROM CONSTRUCTION OF FINITE PROJECTIVE PLANES OF ORDER 2 AND 3
ABSTRACT: In combinatorial
mathematics, a Steiner system is a type of block design. Specifically, a
Steiner system S(t, k, v) is a set of v points and k blocks which satisfy that
every t-subset of v-set of points appear in the unique block. It is well-known
that a finite projective plane is one examples of Steiner system with t = 2,
which consists of a set of points and lines together with an incidence relation
between them and order 2 is the smallest order.
In this paper, we observe some properties from construction of finite
projective planes of order 2 and 3. Also, we analyse the intersection between
two projective planes by using some characteristics of the construction and
orbit of projective planes over some representative cosets from automorphism
group in the appropriate symmetric group.
Author: Vira Hari Krisnawati,
Corina Karim
Journal Code: jpmatematikagg160042
