Subject: question for the list
From: "Neil Strickland"
Date: Tue, 7 Nov 2006 11:25:58 -0000
I've been trying to understand a few things about p-compact groups etc.
Can
anyone help me with the following?
1) Am I right in thinking that one cannot just enumerate the (conjugacy
classes of) p-stubborn subgroups of U(n)? If I understand correctly, this
includes the corresponding problem for the symmetric group, which seems to
be hard. (Of course, I am thinking of the case where n >= p.)
2) Is it nonetheless possible to give a smallish and explicit diagram of
p-toral groups such that the colimit of the classifying spaces is BU(n),
up
to p-completion?
3) Does this become easier if we allow groups G such that G_0 is a torus
but
\pi_0(G) is not a p-group?
Thanks,
Neil