Further translation planes of order 192 admitting SL(2,5), obtained by nest replacement

Alan R. Prince

doi:10.1007/s10623-008-9205-7

Further translation planes of order 19² admitting SL(2,5), obtained by nest replacement

Alan R. Prince

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

2 Citations (Scopus)

Abstract

We construct three translation planes of order 19² admitting SL(2,5), obtained by replacement of 24-nests of reguli in PG(3,19).

Original language	English
Pages (from-to)	263-267
Number of pages	5
Journal	Designs, Codes and Cryptography
Volume	48
Issue number	3
DOIs	https://doi.org/10.1007/s10623-008-9205-7
Publication status	Published - Sept 2008

Keywords

Nest replacement
SL(2,5)
Translation planes

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10.1007/s10623-008-9205-7

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title = "Further translation planes of order 192 admitting SL(2,5), obtained by nest replacement",

abstract = "We construct three translation planes of order 192 admitting SL(2,5), obtained by replacement of 24-nests of reguli in PG(3,19).",

keywords = "Nest replacement, SL(2,5), Translation planes",

author = "Prince, {Alan R.}",

year = "2008",

month = sep,

doi = "10.1007/s10623-008-9205-7",

language = "English",

volume = "48",

pages = "263--267",

journal = "Designs, Codes and Cryptography",

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AU - Prince, Alan R.

PY - 2008/9

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N2 - We construct three translation planes of order 192 admitting SL(2,5), obtained by replacement of 24-nests of reguli in PG(3,19).

AB - We construct three translation planes of order 192 admitting SL(2,5), obtained by replacement of 24-nests of reguli in PG(3,19).

KW - Nest replacement

KW - SL(2,5)

KW - Translation planes

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U2 - 10.1007/s10623-008-9205-7

DO - 10.1007/s10623-008-9205-7

M3 - Article

SN - 0925-1022

VL - 48

SP - 263

EP - 267

JO - Designs, Codes and Cryptography

JF - Designs, Codes and Cryptography

IS - 3

ER -

Further translation planes of order 19² admitting SL(2,5), obtained by nest replacement

Abstract

Keywords

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