The translation planes of order 81 that admit SL(2,5), generated by affine elations

Norman L. Johnson, Alan R. Prince

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The translation planes of order 81 admitting SL(2, 5), generated by affine elations, are completely determined. There are seven mutually non-isomorphic translation planes, of which five are new. Each of these planes may be derived producing another set of seven mutually non-isomorphic translation planes admitting SL(2, 5), where the 3-elements are Baer. Of this latter set, five planes are new. © Birkhäuser Verlag, Basel 2005.

Original languageEnglish
Pages (from-to)73-82
Number of pages10
JournalJournal of Geometry
Volume84
Issue number1-2
DOIs
Publication statusPublished - Mar 2006

Keywords

  • Order 81
  • SL(2, 5)
  • Translation plane

Fingerprint Dive into the research topics of 'The translation planes of order 81 that admit SL(2,5), generated by affine elations'. Together they form a unique fingerprint.

  • Cite this