We show that a connected p-compact group with a trivial center is equivalent to a product of simple p-compact groups. More generally, we show that product splittings of any connected p-compact group correspond bijectively to algebraic splittings of the fundamental group of the maximal torus as a module over the Weyl group. These are analogues for p-compact groups of well-known theorems about compact Lie groups.
@article{bwmeta1.element.bwnjournal-article-fmv147i3p279bwm,
author = {W. Dwyer and C. Wilkerson},
title = {Product splittings for p-compact groups},
journal = {Fundamenta Mathematicae},
volume = {146},
year = {1995},
pages = {279-300},
zbl = {0847.55005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv147i3p279bwm}
}
Dwyer, W.; Wilkerson, C. Product splittings for p-compact groups. Fundamenta Mathematicae, Tome 146 (1995) pp. 279-300. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv147i3p279bwm/
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