A New Infinite Family of Hemisystems of the Hermitian Surface

John Bamberg, Melissa Lee, Koji Momihara, Qing Xiang

Research output: Contribution to journalArticleResearchpeer-review

14 Citations (Scopus)

Abstract

In this paper, we construct an infinite family of hemisystems of the Hermitian surface H(3, q2). In particular, we show that for every odd prime power q congruent to 3 modulo 4, there exists a hemisystem of H(3, q2) admitting C(q3+1)/4:C3.

Original languageEnglish
Pages (from-to)43-66
Number of pages24
JournalCombinatorica
Volume38
Issue number1
DOIs
Publication statusPublished - 1 Feb 2018
Externally publishedYes

Keywords

  • 05B25
  • 05E30
  • 51E12

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