Sixteen-dimensional locally compact translation planes admitting SL₂ H as a group of collineations

Harald Löwe

Vol. 209 (2003), No. 2, 325–337

DOI: 10.2140/pjm.2003.209.325

Abstract

We give an explicit description of all 16-dimensional locally compact translation planes admitting the unimodular quaternion group SL₂ℍ as a group of collineations. Moreover, we shall also determine the full collineation groups of these planes.

Milestones

Received: 9 April 2002

Published: 1 April 2003