On elations in semi-transitive planes

Let π be a semi-transitive translation plane of even order with reference to the subplane π0. If π admits an affine elation fixing π0 for each axis in π0 and the order of π0 is not 2 or 8, then π is a Hall plane.

Bibliographic Details
Main Author: N. L. Johnson
Format: Article
Language:English
Published: Hindawi Limited 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171282000155