Sixteen-dimensional Locally Compact Translation Planes Admitting Sl2 H as a Group of Collineations


In this paper, all 16-dimensional locally compact translation planes admitting the unimodular quaternion group SL2H as a group of collineations will be determined explicitly. Besides the classical plane over the octonions there are a vast number of planes having this property, cf. the Classification Theorem (2.8). Indeed, the class of these planes covers an… (More)


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