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Moufang sets related to polarities in exceptional Moufang quadrangles of type F4

Moufang sets related to polarities in exceptional Moufang quadrangles of type F4

Departing from a Moufang set related to a polarity in an exceptional Moufang quadrangle of type F 4 , we construct a rank three geometry.The main property of this new geometry is that its automorphism group is identical to the one of the underlying Moufang set, providing a tool to …