## Translation Planes of Small Order

Information about the representation of a translation plane
PDF
Files for Translation Planes of Order 16

Files for Translation Planes of Order 25

Files for Translation Planes of Order 27

Files for Translation Planes of Order 32

Files for Semifield Planes of Order 32

Files for Translation Planes of Order 49

Files for Semifield Planes of Order 81

Files for Semifield Planes of Order 64

Files for Semifield Planes of Order 2^8, 5^4
admitting an irreducible planar Baer collineation

## Relevant articles

T. Czerwinski, The collineation groups of the translation planes of order 25,
Geom. Dedicata 39(1991), 125-137.
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U.Dempwolff, C. Charnes, The translation planes of order 49 and their automorphism groups,
Math. of Computations 67(1998), 1207-1224.
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U.Dempwolff, A. Reifart, The classification of the translation planes of order 16, I,
Geom. Dedicata 15(1983), 137-153.
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U.Dempwolff, Translation planes of order 27, Designs, Codes and Cryptography 4(1994),
105-121.
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U.Dempwolff, Semifield Planes of Order 81, to appear in J. Geometry
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U.Dempwolff, A Note on Semifield Planes Admitting Irreducible Planar Baer Collineations,
to appear in Osaka J. Math.
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R. Mathon, G. Royle, The translation planes of order 49, Designs, Codes and Cryptography 5(1995),
52-72.
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R. J. Walker, "Determination of Division Algebras with 32 Elements",
Proc. Symp. Appl. Math. XV, Amer. Math. Soc. 1962, pp. 83-85.
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## Related sites

Eric Moorhouse:
Information about planes of order less than 32

Gordon Royle:
Information about planes of order 16

## Lines of Semifield planes of order 64

ZIP Line at infinity, generators of translation group
ZIP 80 line pencils