Notes on Cooperstein Ovoids in Finite Geometries of Type 𝖤6,1
MathematicsA Cooperstein ovoid is a set of q8+q4+1 pairwise non-collinear points in the Lie incidence geometry E6,1(q). They were introduced by Cooperstein twenty-six years ago, motivated by the fact that possible non-existence of them would imply non-existence of ...
Hendrik Van Maldeghem
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Linear collineation groups preserving an arc in a M\"{o}bius plane [PDF]
, 1999 The theory of $k$-arcs plays an important role in the study of Steiner triple systems, designs, and Benz planes (namely, Mö́bius, Laguerre and Minkowski planes).
SONNINO, Angelo
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Translation planes of order $q2$ admitting collineation groups of order $q3u$ preserving a parabolic unital [PDF]
, 2006 The set of translation planes of order $q2$ that admit collineation groups of order $q3u$, where u is a prime p-primitive divisor of $q2-1$, consists of exactly the Desarguesian plane, assuming that the group does not contain a translation subgroup of ...
Johnson, Norman L., Jha, Vikram
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Primitive collineation groups of ovals with a fixed point [PDF]
, 2003 We investigate collineation groups of a finite projective plane of odd order n fixing an oval and having two orbits on it, one of which is assumed to be primitive. The situation in which the group fixes a point off the oval is considered.
BONISOLI, Arrigo, RINALDI, Gloria
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European Physical Journal C: Particles and FieldsWe explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi +2 more
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Genome-Wide Analysis of bHLH Family Genes and Identification of Members Associated with Cold/Drought-Induced Photoinhibition in Kandelia obovata. [PDF]
Int J Mol Sci, 2023 Li J +5 more
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Finite Projective Planes that Admit a Strongly Irreducible Collineation Group [PDF]
, 1985 This paper studies how coding theory and group theory can be used to produce information about a finite projective plane π and a collineation group G of π.A new proof for Hering's bound on |G| is given in 2.5. Using the idea of coding theory developed in
Chat Yin Ho
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On Finite Line Transitive Affine Planes Whose Collineation Groups Contain no Baer Involutions [PDF]
, 1975 A finite line transitive affine planeAis a finite plane which admits a collineation groupGacting transitively on the set of all lines ofA. Wagner [11] has shown thatAis a translation plane and Hering [9] recently investigated the structure ofAunder the ...
Terry Czerwinski
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Special Recurrent Transformation in an NPR-Finsler Space
Cubo, 2012 In this paper, an infinitesimal transformation , where the vector vi is recurrent has been considered in an NPR- Finsler space. Such transformation is being called special recurrent transformation if the recurrence vector of the NPR- Finsler space is Lie
Anjali Goswami
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A translation plane of order 81 and its full collineation group [PDF]
, 1984 In this paper a new translation plane of order 81 is constructed. Its collineation group is solvable and acts on the line at infinity as a permutation group K which is the product of a group of order 5 belonging to the center of K with a group of order ...
Vito Abatangelo
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