scholarly journals Character tables and the problem of existence of finite projective planes

2018 ◽  
Vol 26 (11) ◽  
pp. 540-546
Author(s):  
Máté Matolcsi ◽  
Mihály Weiner
Keyword(s):  
Projective Planes ◽  
Finite Projective Planes ◽  
Character Tables

scholarly journals On the Construction of Finite Projective Planes from Homology Semibiplanes

1990 ◽  
Vol 11 (6) ◽  
pp. 589-600
Author(s):  
G. Eric Moorhouse
Keyword(s):  
Projective Planes ◽  
Finite Projective Planes

scholarly journals Embedding (r, 1)-designs in finite projective planes

1977 ◽  
Vol 19 (1) ◽  
pp. 67-76 ◽  
Author(s):  
D. McCarthy ◽  
S.A. Vanstone
Keyword(s):  
Projective Planes ◽  
Finite Projective Planes

scholarly journals Analysis of Some Properties from Construction of Finite Projective Planes of Order 2 and 3

CAUCHY ◽  
2016 ◽  
Vol 4 (3) ◽  
pp. 131
Author(s):  
Vira Hari Krisnawati ◽  
Corina Karim
Keyword(s):  
Automorphism Group ◽  
Projective Plane ◽  
Symmetric Group ◽  
Block Design ◽  
Finite Projective Plane ◽  
Projective Planes ◽  
Steiner System ◽  
Incidence Relation ◽  
Finite Projective Planes ◽  
Set Of Points

<p class="abstract"><span lang="IN">In combinatorial mathematics, a Steiner system is a type of block design. Specifically, a Steiner system <em>S</em>(<em>t</em>, <em>k</em>, <em>v</em>) is a set of <em>v</em> points and <em>k</em> blocks which satisfy that every <em>t</em>-subset of <em>v</em>-set of points appear in the unique block. It is well-known that a finite projective plane is one examples of Steiner system with <em>t</em> = 2, which consists of a set of points and lines together with an incidence relation between them and order 2 is the smallest order.</span></p><p class="abstract"><span lang="IN">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.</span></p>

scholarly journals Viewing sets of mutually unbiased bases as arcs in finite projective planes

2005 ◽  
Vol 26 (5) ◽  
pp. 1267-1270 ◽  
Author(s):  
Metod Saniga ◽  
Michel Planat
Keyword(s):  
Projective Planes ◽  
Mutually Unbiased Bases ◽  
Finite Projective Planes

“Old and New Results on Ovals of Finite Projective Planes”

1991 ◽  
pp. 41-72 ◽  
Author(s):  
G. Korchmáros
Keyword(s):  
Projective Planes ◽  
Finite Projective Planes
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