This is the second part of a paper about the classification of 2-compact groups. In the first part we set up a general classification procedure and applied it to the simple 2-compact groups of the A-family. In this second part we deal with the other simple Lie groups and with the exotic simple 2-compact group DI(4). We show that all simple 2-compact groups are uniquely N-determined and conclude that all connected 2-compact groups are uniquely N-determined. This means that two connected 2-compact groups are isomorphic if their maximal torus normalizer s are isomorphic and that the automorphisms of a connected 2-compact group are determined by their effect on a maximal torus. As an application we confirm the conjecture that any connected 2-compact group is the product of a compact Lie group with copies of the exceptional 2-compact group DI(4).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm196-1-1,
author = {Jesper M. M\o ller},
title = {N-determined 2-compact groups. II},
journal = {Fundamenta Mathematicae},
volume = {193},
year = {2007},
pages = {1-90},
zbl = {1136.55011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm196-1-1}
}
Jesper M. Møller. N-determined 2-compact groups. II. Fundamenta Mathematicae, Tome 193 (2007) pp. 1-90. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm196-1-1/