International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 8, Pages 533-547
doi:10.1155/S0161171201003854

Cubic extensions of flag-transitive planes. I: Even order

Yutaka Hiramine1 , Vikram Jha2 and Norman L. Johnson3

1Department of Mathematics, Faculty of Education, Kumamoto University, Kurokami, Kumamoto, Japan
2Mathematics Department, Caledonian University, Cowcaddens Road, Glasgow, Scotland
3University of Iowa, Iowa City 52242, IA, USA

Abstract

The collineation groups of even order translation planes which are cubic extensions of flag-transitive planes are determined.