In the late 1980s, researchers working with finite groups and geometries realised that the classification of geometries could be used to establish an independent and uniform existence and uniqueness proof for finite simple groups. For the classical groups, this was already achieved in the 1960s within the theory of buildings and Tits geometries.

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Geometry of the Thompson Group

  • Alexander A. Ivanov

摘要

In the late 1980s, researchers working with finite groups and geometries realised that the classification of geometries could be used to establish an independent and uniform existence and uniqueness proof for finite simple groups. For the classical groups, this was already achieved in the 1960s within the theory of buildings and Tits geometries.