Collineation group as a subgroup of the symmetric group [PDF]
Let ψ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension ≥ 3 over a field. Let H be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_\psi $ of the set
Bogomolov Fedor, Rovinsky Marat
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Genome-wide identification and characterization of the bHLH gene family and analysis of their potential relevance to chlorophyll metabolism in Raphanus sativus L [PDF]
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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Collineation groups of translation planes of small dimension [PDF]
A subgroup of the linear translation complement of a translation plane is geometrically irreducible if it has no invariant lines or subplanes. A similar definition can be given for geometrically primitive.
T. G. Ostrom
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Finding the Collineation between Two Projective Reconstructions
G. Csurka, David Demirdjian, Radu Horaud
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Proof of the prime power conjecture for projective planes of order 𝑛 with abelian collineation groups of order 𝑛² [PDF]
Aart Blokhuis +2 more
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Finite collineation groups and birational rigidity [PDF]
We classify finite groups G in PGL4(C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
I. Cheltsov, C. Shramov
semanticscholar +1 more source
The Imperial Citadel of Thang Long is a crucial case in ancient Vietnam's planning and design history. Although historical materials indicate that the orientation of the Imperial Citadel of Thang Long has a dialectical unity relationship with the ...
Theanh Dinh, Xiaogeng Ren
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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
core +2 more sources
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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