On semifields of order q4 with center \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \(\mathbb{F}_q\) \end{document}, admitting a Klein 4-group of automorphisms-Reference-Cited by-同舟云学术

On semifields of order q4 with center \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \(\mathbb{F}_q\) \end{document}, admitting a Klein 4-group of automorphisms

Published:2014-03-01 Issue:1 Volume:51 Page:121-132
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Bani-Ata Mashhour¹,Al-Nouty Ra’ed²

Affiliation:

1. 1 Department of Mathematics Paaet Kuwait

2. 2 Hashemite University Department of Mathematics Zarqa Jordan

Abstract

The aim of this paper is to investigate the semifields of order q4 over a finite field of order q, q an odd prime power, admitting a Klein 4-group of automorphisms.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.51.2014.1.1269

Reference15 articles.

1. A semifield of order 54 admitting a free four-group of automorphisms;Al-Ali M. I.;Communications in Algebra,2007

2. Semifields with free automorphism groups;Al-Ali M. I.;Forum Mathematicum,2008

3. The Autotopism Group of a Semifield of Order p4, p an Odd Prime;Al-Ali M. I.;Communications in Algebra,2009

4. Al-Ali, M. I. and Al-Shemas, E., On exsictence of semifields of Order q⁸ admitting elementary ablelian groups of order 8, to appear in Forum Mathematicum.

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