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

Norman L. Johnson; Alan R. Prince

doi:10.1007/s00022-005-0029-6

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 journal › Article › peer-review

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 language	English
Pages (from-to)	73-82
Number of pages	10
Journal	Journal of Geometry
Volume	84
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-005-0029-6
Publication status	Published - Mar 2006

Keywords

Order 81
SL(2, 5)
Translation plane

Access to Document

10.1007/s00022-005-0029-6

Cite this

@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. {\textcopyright} 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 = mar,

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",

}

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

SN - 0047-2468

VL - 84

SP - 73

EP - 82

JO - Journal of Geometry

JF - Journal of Geometry

IS - 1-2

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this