# The classification of 2-compact groups

@article{Andersen2008TheCO,
title={The classification of 2-compact groups},
author={Kasper K. S. Andersen and Jesper Grodal},
journal={Journal of the American Mathematical Society},
year={2008},
volume={22},
pages={387-436}
}
• Published 14 November 2006
• Mathematics
• Journal of the American Mathematical Society
We prove that any connected 2-compact group is classified by its 2-adic root datum, and in particular the exotic 2-compact group DI(4), constructed by Dwyer-Wilkerson, is the only simple 2-compact group not arising as the 2-completion of a compact connected Lie group. Combined with our earlier work with Moller and Viruel for p odd, this establishes the full classification of p-compact groups, stating that, up to isomorphism, there is a one-to-one correspondence between connected p-compact…
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