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

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10.1007/s00022-005-0029-6

Cite this

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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.",

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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

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ER -

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

Abstract

Keywords

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