A note on generalized twisted fields and autotopisms of translation planes

Mashhour Alali; Sahem Tarawneh

doi:10.1556/sscmath.2009.1132

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 47: Issue 3

A note on generalized twisted fields and autotopisms of translation planes

Authors:

Mashhour Alali

Mashhour Alali Mu’tah University Al-Karak-Jordan Department of Mathematics Al-Karak-Jordan Jordan

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Sahem Tarawneh

Sahem Tarawneh Mu’tah University Al-Karak-Jordan Department of Mathematics Al-Karak-Jordan Jordan

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Pages:: 311–320

Online Publication Date:: 12 Nov 2009

Publication Date:: 01 Sep 2010

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.2009.1132

Keywords:: Primary 12K10, 51A40; Semifield; spread; autotopism group

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The first part of this paper is a discussion of autotopism groups of certain translation planes. The second part shows that there is a certain class of semifields of order q⁴ having nuclei of order q² , and their translation planes are not desarguesian and not isomorphic to generalized twisted field planes.

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Studia Scientiarum Mathematicarum Hungarica

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András STIPSICZ (Rényi Institute of Mathematics)
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Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
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Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
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Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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