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2-elements in an Autotopism Group of a Semifield Projective Plane
We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
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Ricci Collineations for Non-Degenerate, Diagonal and Spherically Symmetric Ricci Tensors [PDF]
The expression of the vector field generator of a Ricci Collineation for diagonal, spherically symmetric and non-degenerate Ricci tensors is obtained.
A. H. Bokhari+11 more
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Background Green-fleshed radish (Raphanus sativus L.) is an economically important root vegetable of the Brassicaceae family, and chlorophyll accumulates in its root tissues.
Ruihua Wang+4 more
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Opposition diagrams for automorphisms of small spherical buildings [PDF]
An automorphism $\theta$ of a spherical building $\Delta$ is called \textit{capped} if it satisfies the following property: if there exist both type $J_1$ and $J_2$ simplices of $\Delta$ mapped onto opposite simplices by $\theta$ then there exists a type
Parkinson, J., Van Maldeghem, H.
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A Full List of Projectively Distinct K-Arcs in Finite Projetive Space Pg(2,8) [PDF]
A k-arc in a plane PG(2,q) is a set of k point such that every line in the plane intersect it in at most two points and there is a line intersect it in exactly two points. A k-arc is complete if there is no k+1-arc containing it.
Ali A. Abdulla, Abdulkhalik Yasin
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Classification of Spherically Symmetric Static Spacetimes according to their Matter Collineations [PDF]
The spherically symmetric static spacetimes are classified according to their matter collineations. These are studied when the energy-momentum tensor is degenerate and also when it is non-degenerate.
A. A. Coley+19 more
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Cubic Extensions of Flag-Transitive Planes, I. Even Order
The collineation groups of even order translation planes which are cubic extensions of flag-transitive planes are determined.
Yutaka Hiramine+2 more
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LDPC codes from Singer cycles [PDF]
The main goal of coding theory is to devise efficient systems to exploit the full capacity of a communication channel, thus achieving an arbitrarily small error probability. Low Density Parity Check (LDPC) codes are a family of block codes--characterised
Angelo Sonnino+22 more
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In this paper we continue the study of projective planes which admit collineation groups of low rank (Kallaher [1] and Bachmann [2,3]). A rank 5 collineation group of a projective plane ℙ of order n≠3 is proved to be flag-transitive. As in the rank 3 and
Otto Bachmann
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Generalizations of the Johnson parallelisms are given using an index m subgroup of a Pappian central collineation group. The parallelisms, called m-parallelisms, are constructed and the isomorphisms classes are discussed.
Norman L. Johnson, Rolando Pomareda
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