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On Two-Intersection Sets with Respect to Hyperplanes in Projective Spaces
2002
Journal of combinatorial theory. Series A
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-243)] a construction of a class of two-intersection sets with respect to hyperplanes in PGðr À 1; q t Þ; rt even, is given, with the same parameters as the union of ðq t=2 À 1Þ=ðq À 1Þ disjoint Baer subgeometries ...
2 T; then Cðbl l À am mÞ ¼0 0: This implies that bl l T ðṽ v 1 ; . . . ...
isomorphic to PGðr À 1; q t=2 Þ: We say that a two-intersection set isomorphic to such a union of subgeometries is of type I. ...
doi:10.1006/jcta.2002.3289
fatcat:durmbtgmynelvgpv32mqkzxziu
Page 19 of Mathematical Reviews Vol. 3, Issue 1
[page]
1942
Mathematical Reviews
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A note on subgeometries of projective geom- etry as the theories of tensors. Bull. Amer. Math. Soc. 47, 475-478 (1941). ...
[MF 4690] After a discussion of Young’s symmetry operators so-
called immanant tensors are introduced, which are certain
numerical tensors associated with each partition of a natural number p. ...
A decomposition for combinatorial geometries
1972
Transactions of the American Mathematical Society
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Note that Fnm represents the mth truncation of the Boolean algebra B . ...
of a vertex partition of a connected component of M. ...
doi:10.1090/s0002-9947-1972-0309764-6
fatcat:tar44qib5bfo7lweb3cweqaogm
A Decomposition for Combinatorial Geometries
1972
Transactions of the American Mathematical Society
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Note that Fnm represents the mth truncation of the Boolean algebra B . ...
of a vertex partition of a connected component of M. ...
doi:10.2307/1996381
fatcat:djifk236hjevfgyuef4uqpmozi
Multiple spread retraction
2003
Advances in Geometry
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or mixed partitions of a corresponding projective space. ...
admitting fixedpoint-free collineation groups GK Ã , each of whose point orbits is the set of nonzero vectors of a 2-dimensional K-subspace, are shown to permit spread-retraction and produce either Baer subgeometry ...
A Baer subgeometry partition produced from a spread as above is called a spread-retraction. ...
doi:10.1515/advg.2003.016
fatcat:zshxmaztzzcurjr3ef3vv37fre
Multiple Spread Retraction
[chapter]
2007
Handbook of Finite Translation Planes
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or mixed partitions of a corresponding projective space. ...
admitting fixedpoint-free collineation groups GK Ã , each of whose point orbits is the set of nonzero vectors of a 2-dimensional K-subspace, are shown to permit spread-retraction and produce either Baer subgeometry ...
A Baer subgeometry partition produced from a spread as above is called a spread-retraction. ...
doi:10.1201/9781420011142.ch91
fatcat:h2fml3bffjh6vg7wjkat4a2wei
A thin near hexagon with 50 points
2003
Journal of combinatorial theory. Series A
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mÞ
L bb ð7% c; À %
mÞ
ð% c; À %
mÞ; ðÀ %
c; À %
mÞ
L bb ð7ða; mÞÞ
ða; mÞ; ðÀa; ÀmÞ
L bb ð7ð %
a; %
mÞÞ
ð %
a; %
mÞ;
R. ...
; ðc; ÀmÞ
L gbb ð %
a; %
m; %
cÞ
À %
b; ð %
a; %
mÞ; ð% c; À %
mÞ
L gb ða; mÞ
À a; ða; mÞ
L gb ðÀ %
a; À %
mÞ
%
a; ðÀ %
a; À %
mÞ
L gb ða; c; mÞ
a; ðc; mÞ
L bb ð %
a þ %
c; i % ...
doi:10.1016/s0097-3165(03)00029-3
fatcat:vft4d3sk55drhlufd2w4pv2abi
Spatial aggregation: Data model and implementation
2009
Information Systems
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Otherwise, the river must be partitioned in advance. ...
A base GIS fact table schema is a tuple BFT ¼ ðpoint; L; MÞ that means, a fact table with the finest geometric granularity. ...
doi:10.1016/j.is.2009.03.002
fatcat:ht6mqqc7uje7fk5un5bdock7xe
Switching of generalized quadrangles of order s and applications
2003
Advances in Geometry
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(iii) If x is a point and L is a line not incident with x, then there is a unique pair ðy; MÞ A P Â B for which x I M I y I L. ...
Let F be a flock of the quadratic cone K with vertex x of PGð3; qÞ, that is, a partition of K À fxg into q disjoint irreducible conics. ...
doi:10.1515/advg.2003.2003.s1.105
fatcat:6ar3cegxsfbenlyu7hy6pvzyni