Product splittings for $p$-compact groups
Volume 147 / 1995
Fundamenta Mathematicae 147 (1995), 279-300
DOI: 10.4064/fm_1995_147_3_1_279_300
Abstract
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.
