Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram
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Colleges, School and Institutes
We classify all non-collapsing Curtis-Tits and Phan amalgams with 3- spherical diagram over all fields. In particular, we show that amalgams with spherical diagram are unique, a result required by the classification of finite simple groups. We give a simple condition on the amalgam which is necessary and sufficient for it to arise from a group of Kac-Moody type. This also yields a definition of a large class of groups of Kac-Moody type in terms of a finite presentation.
|Number of pages||42|
|Journal||Israel Journal of Mathematics|
|Early online date||28 Dec 2018|
|Publication status||E-pub ahead of print - 28 Dec 2018|