A translation plane of order 192 admitting SL(2,5), obtained by 12-nest replacement

Alan R. Prince

doi:10.1007/s10623-007-9045-x

A translation plane of order 19² admitting SL(2,5), obtained by 12-nest replacement

Alan R. Prince

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The problem of determining two-dimensional translation planes admitting SL(2,5) in the translation complement has been intensively studied. Most examples arise from multiple-derivation of a Desarguesian plane. In this paper, we construct two translation planes of order 19² admitting SL(2,5), one of which is obtained by 12-nest replacement. © 2007 Springer Science+Business Media, LLC.

Original language	English
Pages (from-to)	25-30
Number of pages	6
Journal	Designs, Codes and Cryptography
Volume	44
Issue number	1-3
DOIs	https://doi.org/10.1007/s10623-007-9045-x
Publication status	Published - Sept 2007

Keywords

12-nest replacement
SL(2,5)
Translation planes

Access to Document

10.1007/s10623-007-9045-x

Cite this

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title = "A translation plane of order 192 admitting SL(2,5), obtained by 12-nest replacement",

abstract = "The problem of determining two-dimensional translation planes admitting SL(2,5) in the translation complement has been intensively studied. Most examples arise from multiple-derivation of a Desarguesian plane. In this paper, we construct two translation planes of order 192 admitting SL(2,5), one of which is obtained by 12-nest replacement. {\textcopyright} 2007 Springer Science+Business Media, LLC.",

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AB - The problem of determining two-dimensional translation planes admitting SL(2,5) in the translation complement has been intensively studied. Most examples arise from multiple-derivation of a Desarguesian plane. In this paper, we construct two translation planes of order 192 admitting SL(2,5), one of which is obtained by 12-nest replacement. © 2007 Springer Science+Business Media, LLC.

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