The construction of replaceable (q+3)-nests of reguli in PG(3,q)

Alan Ronald Prince

doi:10.1016/j.ffa.2011.10.001

The construction of replaceable (q+3)-nests of reguli in PG(3,q)

Alan Ronald Prince

School of Mathematical & Computer Sciences

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

Abstract

We describe a construction of -nests of reguli in for q odd, , and examine the replacement question. Two examples, a replaceable 10-nest in PG(2,7) and a replaceable 14-nest in , are of particular interest since there is no replacement set consisting of a union of opposite half-reguli. For all previously known examples of replaceablenests, there is a replacement set consisting of a union of opposite half-reguli.

Original language	English
Pages (from-to)	437-444
Number of pages	8
Journal	Finite Fields and their Applications
Volume	18
Issue number	2
DOIs	https://doi.org/10.1016/j.ffa.2011.10.001
Publication status	Published - Mar 2012

Keywords

Inversive geometry
Nests of reguli
Translation planes
Spreads

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10.1016/j.ffa.2011.10.001

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KW - Inversive geometry

KW - Nests of reguli

KW - Translation planes

KW - Spreads

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The construction of replaceable (q+3)-nests of reguli in PG(3,q)

Abstract

Keywords

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