On translation planes of orderq 3 that admit a collineation group of orderq 3, II
Authors:
Kenzi Akiyama
Affiliation:
1. Department of Applied Mathematics, Fukuoka University, Fukuoka, Japan
Abstract:
Let II be a translation plane of orderq3 with kernel GF(q) that admits a collineation groupG of orderq3 in the linear translation complement such thatG fixes a point at infinity and acts transitively on the remaining points at infinity.In this paper, we show that any such translation plane II is one of the following types of planes: