Abstract
It is well known that associated with a translation plane ? there is a family of equivalent spreads. In this paper, we prove that if one of these spreads is symplectic and ? is finite, then all the associated spreads are symplectic. Also, using the geometric intepretation of the Knuth's cubical array, we prove that a symplectic semifield spread of dimension n over its left nucleus is associated via a Knuth operation to a commutative semifield of dimension n over its middle nucleus.
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