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Jun 27, 2011 at 22:46 vote accept HenrikRüping
Jun 27, 2011 at 16:44 comment added paul garrett Perhaps it should be added that $GL_n(F_p[x])$ is inside a compact subgroup of $GL_n(F_p(x)_v)$ for all places $v$ except the $1/x$ place "at infinity", at which it really is a discrete subgroup. All places have affine buildings attached to them, but the actions of $GL_n(F_p[x])$ on almost all of them are "boring", for this reason. These are analogues of the p-adic buildings for $GL_n(Q_p)$'s, but the "place at infinity" of $Q$ behaves differently, obviously.
Jun 27, 2011 at 15:10 history answered S. Carnahan CC BY-SA 3.0