## Innovations in Incidence Geometry

### On the autotopism group of the commutative Dickson semifield $K$ and the stabilizer of the Ganley unital embedded in the semifield plane $\Pi(K)$

#### 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.

#### Article information

Source
Innov. Incidence Geom., Volume 14, Number 1 (2015), 27-42.

Dates
Accepted: 19 March 2014
First available in Project Euclid: 28 February 2019

https://projecteuclid.org/euclid.iig/1551323026

Digital Object Identifier
doi:10.2140/iig.2015.14.27

Mathematical Reviews number (MathSciNet)
MR3450950

Zentralblatt MATH identifier
1404.51002

#### Citation

Hui, Alice M. W.; Tai, Yee Ka; Wong, Philip P. W. On the autotopism group of the commutative Dickson semifield $K$ and the stabilizer of the Ganley unital embedded in the semifield plane $\Pi(K)$. Innov. Incidence Geom. 14 (2015), no. 1, 27--42. doi:10.2140/iig.2015.14.27. https://projecteuclid.org/euclid.iig/1551323026

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