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

Moufang sets related to polarities in exceptional Moufang quadrangles of type F 4

Departing from a Moufang set related to a polarity in an exceptional Moufang quadrangle of type F4, 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 study this Moufang set in a geometrical way. As a corollary we obtain that every automorphism of an exceptional Mouf...

Moufang Quadrangles of Mixed type

In this paper, we present some geometric characterizations of the Moufang quadrangles of mixed type, i.e., the Moufang quadrangles all the points and lines of which are regular. Roughly, we classify generalized quadrangles with enough (to be made precise) regular points and lines with the property that the dual net associated to the regular points satisfy the Axiom of Veblen-Young, or a very we...

Moufang quadrangles: A unifying algebraic structure, and some results on exceptional quadrangles

Capita Selecta in Geometry Moufang Quadrangles: Characterizations, Classification, Generalizations

Moufang symmetry VII. Moufang transformations

Concept of a birepresentation for the Moufang loops is elaborated. 2000 MSC: 20N05