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On Two-Intersection Sets with Respect to Hyperplanes in Projective Spaces

2002
*
Journal of combinatorial theory. Series A
*

-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

doi:10.1006/jcta.2002.3289
fatcat:durmbtgmynelvgpv32mqkzxziu
*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. ...##
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Page 19 of Mathematical Reviews Vol. 3, Issue 1
[page]

1942
*
Mathematical Reviews
*

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. ...##
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A decomposition for combinatorial geometries

1972
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Transactions of the American Mathematical Society
*

Note that Fnm represents the

doi:10.1090/s0002-9947-1972-0309764-6
fatcat:tar44qib5bfo7lweb3cweqaogm
*mth*truncation of the Boolean algebra B . ... of a vertex*partition*of a connected component of M. ...##
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A Decomposition for Combinatorial Geometries

1972
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Transactions of the American Mathematical Society
*

Note that Fnm represents the

doi:10.2307/1996381
fatcat:djifk236hjevfgyuef4uqpmozi
*mth*truncation of the Boolean algebra B . ... of a vertex*partition*of a connected component of M. ...##
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Multiple spread retraction

2003
*
Advances in Geometry
*

or mixed

doi:10.1515/advg.2003.016
fatcat:zshxmaztzzcurjr3ef3vv37fre
*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. ...##
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Multiple Spread Retraction
[chapter]

2007
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Handbook of Finite Translation Planes
*

or mixed

doi:10.1201/9781420011142.ch91
fatcat:h2fml3bffjh6vg7wjkat4a2wei
*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. ...##
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A thin near hexagon with 50 points

2003
*
Journal of combinatorial theory. Series A
*

*mÞ*L bb ð7% c; À %

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*mÞ*; ðÀa; ÀmÞ L bb ð7ð % a; % mÞÞ ð % a; %

*mÞ*; R. ... ; ðc; ÀmÞ L gbb ð % a; % m; % cÞ À % b; ð % a; %

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*mÞ*L gb ða; c;

*mÞ*a; ðc;

*mÞ*L bb ð % a þ % c; i % ...

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Spatial aggregation: Data model and implementation

2009
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Information Systems
*

Otherwise, the river must be

doi:10.1016/j.is.2009.03.002
fatcat:ht6mqqc7uje7fk5un5bdock7xe
*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. ...##
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Switching of generalized quadrangles of order s and applications

2003
*
Advances in Geometry
*

(iii) If x is a point and L is a line not incident with x, then there is a unique pair ðy;

doi:10.1515/advg.2003.2003.s1.105
fatcat:6ar3cegxsfbenlyu7hy6pvzyni
*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. ...