Product splittings for $p$-compact groups
Fundamenta Mathematicae, Tome 147 (1995) no. 3, pp. 279-300.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm_1995_147_3_1_279_300

W. G. Dwyer 1 ; C. W. Wilkerson 1

1
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W. G. Dwyer; C. W. Wilkerson. Product splittings for $p$-compact groups. Fundamenta Mathematicae, Tome 147 (1995) no. 3, pp. 279-300. doi : 10.4064/fm_1995_147_3_1_279_300. http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_3_1_279_300/

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