The normalizer splitting conjecture for p-compact groups
Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 1-16
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let X be a p-compact group, with maximal torus $BT → BX$, maximal torus normalizer BN and Weyl group $W_X$. We prove that for an odd prime p, the fibration $BT → BN → BW_X$ has a section, which is unique up to vertical homotopy.
Keywords:
p-compact groups, normalizers of maximal tori, Weyl groups, cohomology of pseudoreflection groups
Affiliations des auteurs :
Kasper K. S. Andersen 1
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author = {Kasper K. S. Andersen},
title = {The normalizer splitting conjecture for p-compact groups},
journal = {Fundamenta Mathematicae},
pages = {1--16},
publisher = {mathdoc},
volume = {161},
number = {1},
year = {1999},
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TY - JOUR AU - Kasper K. S. Andersen TI - The normalizer splitting conjecture for p-compact groups JO - Fundamenta Mathematicae PY - 1999 SP - 1 EP - 16 VL - 161 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-161-1-2-1-16/ DO - 10.4064/fm-161-1-2-1-16 LA - en ID - 10_4064_fm_161_1_2_1_16 ER -
Kasper K. S. Andersen. The normalizer splitting conjecture for p-compact groups. Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 1-16. doi: 10.4064/fm-161-1-2-1-16
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