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

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

Fingerprint

Translation Planes

Keywords

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

Cite this

Johnson, Norman L. ; Prince, Alan R. / The translation planes of order 81 that admit SL(2,5), generated by affine elations. In: Journal of Geometry. 2006 ; Vol. 84, No. 1-2. pp. 73-82.
@article{48765561461948eb8317214e0691fa1d,
title = "The translation planes of order 81 that admit SL(2,5), generated by affine elations",
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. {\circledC} Birkh{\"a}user Verlag, Basel 2005.",
keywords = "Order 81, SL(2, 5), Translation plane",
author = "Johnson, {Norman L.} and Prince, {Alan R.}",
year = "2006",
month = "3",
doi = "10.1007/s00022-005-0029-6",
language = "English",
volume = "84",
pages = "73--82",
journal = "Journal of Geometry",
issn = "0047-2468",
publisher = "Birkh{\"a}user",
number = "1-2",

}

The translation planes of order 81 that admit SL(2,5), generated by affine elations. / Johnson, Norman L.; Prince, Alan R.

In: Journal of Geometry, Vol. 84, No. 1-2, 03.2006, p. 73-82.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The translation planes of order 81 that admit SL(2,5), generated by affine elations

AU - Johnson, Norman L.

AU - Prince, Alan R.

PY - 2006/3

Y1 - 2006/3

N2 - 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.

AB - 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.

KW - Order 81

KW - SL(2, 5)

KW - Translation plane

UR - http://www.scopus.com/inward/record.url?scp=33645921644&partnerID=8YFLogxK

U2 - 10.1007/s00022-005-0029-6

DO - 10.1007/s00022-005-0029-6

M3 - Article

VL - 84

SP - 73

EP - 82

JO - Journal of Geometry

JF - Journal of Geometry

SN - 0047-2468

IS - 1-2

ER -