Vol. 14, No. 1, 2015

Download this article
Download this article For screen
For printing
Recent Issues
Volume 17, Issue 3 (189-249)
Volume 17, Issue 2 (77-188)
Volume 17, Issue 1 (1-75)
Volume 16, Issue 1
Volume 15, Issue 1
Volume 14, Issue 1
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 1
Volume 10, Issue 1
Volume 9, Issue 1
Volume 8, Issue 1
Volume 6+7, Issue 1
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the Journal
Editorial Board
Subscriptions
Submission Guidelines
Submission Form
Ethics Statement
Editorial Login
ISSN (electronic): 2640-7345
ISSN (print): 2640-7337
Author Index
To Appear
 
Other MSP Journals
On the autotopism group of the commutative Dickson semifield $K$ and the stabilizer of the Ganley unital embedded in the semifield plane $\Pi(K)$

Alice M. W. Hui, Yee Ka Tai and Philip P. W. Wong

Vol. 14 (2015), No. 1, 27–42
Abstract

Two methods, one algebraic and one geometric, are given to determine the autotopism group of the commutative Dickson semifield, completing a result of Sandler. The collineation stabilizer subgroup of the embedded Ganley unital is exhibited as a semidirect product whose factor groups are semidirect products of abelian groups.

Keywords
Dickson semifield, semifield plane, autotopism group, stabilizer of the embedded Ganley unital, automorphism group of unitary block design, inversive plane
Mathematical Subject Classification 2010
Primary: 12K10, 20B25, 51A35, 51B10, 51E05
Milestones
Received: 16 August 2013
Accepted: 19 March 2014
Authors
Alice M. W. Hui
Yee Ka Tai
Philip P. W. Wong