Vol. 14, No. 1, 2015

Download this article
Download this article For screen
For printing
Recent Issues
Volume 18
Volume 16
Volume 15
Volume 14
Volume 13
Volume 12
Volume 11
Volume 10
Volume 9
Volume 8
Volume 6+7
Volume 5
Volume 4
Volume 3
Volume 2
Volume 1
The Journal
About the Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
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

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.

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
Received: 16 August 2013
Accepted: 19 March 2014
Alice M. W. Hui
Yee Ka Tai
Philip P. W. Wong