A note on generalized twisted fields and autotopisms of translation planes-Reference-Cited by-同舟云学术

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A note on generalized twisted fields and autotopisms of translation planes

Published:2010-09-01 Issue:3 Volume:47 Page:311-320
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Alali Mashhour¹,Tarawneh Sahem¹

Affiliation:

1. 1 Mu’tah University Al-Karak-Jordan Department of Mathematics Al-Karak-Jordan Jordan

Abstract

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.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://akademiai.com/doi/pdf/10.1556/sscmath.2009.1132

Reference9 articles.

1. Al-Ali, M. , Semifields with free automorphism groups, to appear in Forum Mathematicum .

2. Al-Ali, M. , The autotomorphism group of a semifield of order q ⁴ , Communications in Algebra (to appear).

3. Generalized twisted fields;Albert A. A.;Pacific J. Math.,1961

4. On the collineation groups associated with twisted fields;Albert A. A.;Calcutta Math. Soc., Golden Jubilee Comm.,1959

5. The collineation groups of generalized twisted field planes;Biliotti M.;Geometriae Dedicata,1999

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