Local identification of spherical buildings and finite simple groups of Lie type
Local identification of spherical buildings and finite simple groups of Lie type
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DOI：
10.1017/s0305004113000078
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发表时间：
2013-02
影响因子：
0.8
通讯作者：
U. Meierfrankenfeld;G. Stroth;R. Weiss
中科院分区：
文献类型：
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作者：
U. Meierfrankenfeld;G. Stroth;R. Weiss
摘要我们给出了秩至少为3的有限球形建筑物的秩2剩余结构的唯一性的一个简短证明，并利用这个结果证明了一个结果，使得仅从其“抛物结构”的知识就可以识别任意有限的Lie型群。我们的证明还涉及到环路、“拉丁腔系统”和建筑物之间的联系。
Abstract We give a short proof of the uniqueness of finite spherical buildings of rank at least 3 in terms of the structure of the rank 2 residues and use this result to prove a result making it possible to identify an arbitrary finite group of Lie type from knowledge of its “parabolic structure” alone. Our proof also involves a connection between loops, “Latin chamber systems” and buildings.