基本陪集几何
Basic coset geometries
摘要：
在早期的工作中，我们给出了一个表征的pregeometries是“基本”（即不承认“非退化”逆元）相对于两种不同的商运算，即imprimitive逆元和正常逆元。每个基本几何都涉及到一个忠实的群作用，这是原始的或准原始的，每一种类型的元素的集合。对于本原群的每一个O 'Nan-Scott型，我们构造了一个新的无限几何族，它是厚的，秩无界的，并且允许一个忠实地作用在每一个类型的元素集合上的旗传递自同构群作为给定O' Nan-Scott型的本原群.
英文摘要：
In earlier work we gave a characterisation of pregeometries which are `basic' (that is, admit no `non-degenerate' quotients) relative to two different kinds of quotient operations, namely imprimitive quotients and normal quotients. Each basic geometry was shown to involve a faithful group action, which is primitive or quasiprimitive respectively, on the set of elements of each type. For each O'Nan-Scott type of primitive group, we construct a new infinite family of geometries, which are thick and of unbounded rank, and which admit a flag-transitive automorphism group acting faithfully on the set of elements of each type as a primitive group of the given O'Nan-Scott type.
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