Product splittings for $p$-compact groups
Fundamenta Mathematicae, Tome 147 (1995) no. 3, pp. 279-300
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{10_4064_fm_1995_147_3_1_279_300,
author = {W. G. Dwyer and C. W. Wilkerson},
title = {Product splittings for $p$-compact groups},
journal = {Fundamenta Mathematicae},
pages = {279--300},
year = {1995},
volume = {147},
number = {3},
doi = {10.4064/fm_1995_147_3_1_279_300},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_3_1_279_300/}
}
TY - JOUR AU - W. G. Dwyer AU - C. W. Wilkerson TI - Product splittings for $p$-compact groups JO - Fundamenta Mathematicae PY - 1995 SP - 279 EP - 300 VL - 147 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_3_1_279_300/ DO - 10.4064/fm_1995_147_3_1_279_300 LA - en ID - 10_4064_fm_1995_147_3_1_279_300 ER -
%0 Journal Article %A W. G. Dwyer %A C. W. Wilkerson %T Product splittings for $p$-compact groups %J Fundamenta Mathematicae %D 1995 %P 279-300 %V 147 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_3_1_279_300/ %R 10.4064/fm_1995_147_3_1_279_300 %G en %F 10_4064_fm_1995_147_3_1_279_300
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
Cité par Sources :