Covering sets of spreads in PG(3, q)

Alan R. Prince

doi:10.1016/S0012-365X(00)00416-7

Covering sets of spreads in PG(3, q)

Alan R. Prince

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We consider the problem of the existence of covering sets of spreads in PG(3,q). This is connected with the problem of extending the linear space of points and lines in the projective 3-space PG(3,q) to a projective plane of order q(q+1). The concept of an l-local covering set is introduced and a particular type, which is called special, is denned. We show, using a computer search, that there is no covering set in PG(3,4) which involves a special local covering set. © 2001 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	131-136
Number of pages	6
Journal	Discrete Mathematics
Volume	238
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(00)00416-7
Publication status	Published - 28 Jul 2001
Event	The Third Shanghai Conference - Shanghai, China Duration: 15 May 1999 → 19 May 1999

Keywords

Finite projective 3-space
Finite projective planes
Spreads

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10.1016/S0012-365X(00)00416-7

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AB - We consider the problem of the existence of covering sets of spreads in PG(3,q). This is connected with the problem of extending the linear space of points and lines in the projective 3-space PG(3,q) to a projective plane of order q(q+1). The concept of an l-local covering set is introduced and a particular type, which is called special, is denned. We show, using a computer search, that there is no covering set in PG(3,4) which involves a special local covering set. © 2001 Elsevier Science B.V. All rights reserved.

KW - Finite projective 3-space

KW - Finite projective planes

KW - Spreads

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JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

T2 - The Third Shanghai Conference

Y2 - 15 May 1999 through 19 May 1999

ER -

Covering sets of spreads in PG(3, q)

Abstract

Keywords

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