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On the Non-Existence of Certain Cameron-Liebler Line Classes in PG(3, q)

✍ Scribed by Aiden A. Bruen; Keldon Drudge

Book ID
110260523
Publisher
Springer
Year
1998
Tongue
English
Weight
221 KB
Volume
14
Category
Article
ISSN
0925-1022

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πŸ“œ SIMILAR VOLUMES

Cameron-Liebler line classes in PG (3,q)
Cameron-Liebler line classes in PG (3,q)
✍ Tim Penttila πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 308 KB

A Cameron-Liebler line class is a set L of lines in PG(3, q) for which there exists a number x such that IL n SI = x for all spreads S. There are many equivalent properties: Theorem 1 lists eight. This paper classifies Cameron-Liebler line classes with x < 4 (with two exceptions). It is also shown t

The Construction of Cameron–Liebler Line
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✍ A.A. Bruen; Keldon Drudge πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 121 KB

This paper is concerned with fundamental questions lying at the boundary of combinatorics, geometry, and group theory. For example, let A be the point-line incidence matrix of "PG(3, q). Then A is a (0, 1)-matrix, with the columns (rows) corresponding to points (lines) of . Working over 0, say, the

On a set of lines of PG(3,q) correspondi
On a set of lines of PG(3,q) corresponding to a maximal cap contained in the Klein quadric of PG (5,q)
✍ David G. Glynn πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 371 KB

The problem is considered of constructing a maximal set of lines, with no three in a pencil, in the finite projective geometry PG(3, q) of three dimensions over GF(q). (A pencil is the set of q + 1 lines in a plane and passing through a point.) It is found that an orbit of lines of a Singer cycle of