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

Alan Ronald Prince

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)437-444
Number of pages8
JournalFinite Fields and their Applications
Volume18
Issue number2
DOIs
Publication statusPublished - Mar 2012

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Nest
Replacement
Union
Odd

Keywords

  • Inversive geometry
  • Nests of reguli
  • Translation planes
  • Spreads

Cite this

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The construction of replaceable (q+3)-nests of reguli in PG(3,q). / Prince, Alan Ronald.

In: Finite Fields and their Applications, Vol. 18, No. 2, 03.2012, p. 437-444.

Research output: Contribution to journalArticle

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