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Venules

https://doi.org/10.1007/978-3-642-71237-1text a few simple observations and state a few related questions. In Sect. ., using the polarity in the case of ., ., and that of ., ., we present a nondegenerate symmetric bilinear form on, and a polarity of, the .-ary code associated with each of these geometries which is stabilized by the central

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A Classification of Curtis-Tits Amalgams, fundamental subgroups of ranks . and .. This result was later extended to Kac-Moody groups by P. Abramenko and B. Mühlherr and Caprace. Their theorem states that a Kac-Moody group . is the universal completion of an amalgam of rank two (Levi) subgroups, as they are arranged inside . itself. Taking

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Institution

Embeddings of Line-Grassmannians of Polar Spaces in Grassmann Varieties,e such that . is a projective line for every line . of .. However, different situations are considered in the literature, where . is allowed to be a subline of a projective line or a curve. In this paper we propose a more general definition of embedding which includes all the above situations and we

MINT

Generation of Lie Incidence Geometries: A Survey,is contained in .. For an arbitrary subset . of . the subspace generated by ., denoted by ., is the intersection of all subspaces which contain .. A subset . is said to generate . if .. The generating rank of . is the minimal cardinality of a generating set. In this paper we survey what is currently

协议

Witt-Type Theorems for Subspaces of Lie Geometries: A Survey,trary subgraphs. We then define several graphs which we will refer to as ‘partial frames’ which are isomorphic to subgraphs of an .-shadow of an apartment which we refer to as apartment partial frames. With this background we subsequently survey results which classify independent subgraphs of the co

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