Abstract
Subplanes of <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <mi>P</mi><mi>G</mi><mrow><mo>(</mo> <mrow> <mn>2,</mn><msup> <mi>q</mi> <mn>3</mn> </msup> </mrow> <mo>)</mo></mrow></mrow></math> and the Ruled Varieties <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <msubsup> <mi>V</mi> <mn>2</mn> <mn>5</mn> </msubsup> </mrow></math> of <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <mi>P</mi><mi>G</mi><mrow><mo>(</mo> <mrow> <mn>6,</mn><mi>q</mi></mrow> <mo>)</mo></mrow></mrow></math>
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