Corrigenda to "Polarities of Symplectic Quadrangles''
نویسندگان
چکیده
منابع مشابه
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...
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A symplectic polarity of a building ∆ of type E6 is a polarity whose fixed point structure is a building of type F4 containing residues isomorphic to symplectic polar spaces. In this paper, we present two characterizations of such polarities among all dualities. Firstly, we prove that, if a duality θ of ∆ never maps a point to a neighbouring symp, and maps some element to a non-opposite element...
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In these notes we are interested in the following fundamental question: “Given a thick generalized quadrangle S(x) with elation point (respectively center of transitivity) x , when does the set of all elations about x form a group?”. It was the general belief for a long time that this is usually the case. However, the goal of these notes is to show that this belief is wrong. To that end, we wil...
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Basic results are obtained concerning Galois connections between collections of closure operators (of various types) and collections consisting of subclasses of (pairs of) morphisms in M for an 〈E,M 〉 -category X . In effect, the “lattice” of closure operators on M is shown to be equivalent to the fixed point lattice of the polarity induced by the orthogonality relation between composable pairs...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2004
ISSN: 1370-1444
DOI: 10.36045/bbms/1102689127