Results 31 to 40 of about 2,565 (153)
Gauge-reversing maps on cones, and Hilbert and Thompson isometries [PDF]
, 2013 We show that a cone admits a gauge-reversing map if and only if it is a symmetric cone. We use this to prove that every isometry of a Hilbert geometry is a collineation unless the Hilbert geometry is the projective space of a non-Lorentzian symmetric ...
Cormac Walsh, Thompson Isometries
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Translation planes of even order in which the dimension has only one odd factor
International Journal of Mathematics and Mathematical Sciences, 1980 Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d=2sr where r is an odd prime. A prime factor of |G| must divide (qd+1)∏i=1d(qi−1).
T. G. Ostrom
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Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2020 Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
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, 2011 We introduce a rank 3 geometry for any Ree group over a not necessarily perfect field and show that its full collineation group is the automorphism group of the corresponding Ree group.
Haot, Fabienne +2 more
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Collineation groups of translation planes of small dimension
International Journal of Mathematics and Mathematical Sciences, 1981 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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symmetries of the Ricci tensor of static space times with maximal symmetric transverse spaces
, 2006 Static space times with maximal symmetric transverse spaces are classified according to their Ricci collineations. These are investigated for non-degenerate Ricci tensor ($det.(R_{\alpha}) \neq 0$).
A.Z. Petro +4 more
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On Invariant Notions of Segre Varieties in Binary Projective Spaces [PDF]
, 2010 Invariant notions of a class of Segre varieties $\Segrem(2)$ of PG(2^m - 1, 2) that are direct products of $m$ copies of PG(1, 2), $m$ being any positive integer, are established and studied.
A. Bichara +22 more
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International Journal of Mathematics and Mathematical Sciences, 1981 Let a finite projective plane be called rank m plane if it admits a collineation group G of rank m, let it be called strong rank m plane if moreover GP=G1 for some point-line pair (P,1).
O. Bachmann
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On the equivalence of linear sets
, 2015 Let $L$ be a linear set of pseudoregulus type in a line $\ell$ in $\Sigma^*=\mathrm{PG}(t-1,q^t)$, $t=5$ or $t>6$. We provide examples of $q$-order canonical subgeometries $\Sigma_1,\, \Sigma_2 \subset \Sigma^*$ such that there is a $(t-3)$-space $\Gamma
Csajbók, Bence, Zanella, Corrado
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Opposition diagrams for automorphisms of small spherical buildings [PDF]
, 2019 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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