Classification of Curtis-Tits and Phan amalgams with $3$-spherical diagram
Group Theory
2016-11-04 v1
Abstract
We classify all non-collapsing Curtis-Tits and Phan amalgams with -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.
Keywords
Cite
@article{arxiv.1611.01038,
title = {Classification of Curtis-Tits and Phan amalgams with $3$-spherical diagram},
author = {Rieuwert J. Blok and Corneliu G. Hoffman and Sergey V. Shpectorov},
journal= {arXiv preprint arXiv:1611.01038},
year = {2016}
}