  This survey is mostly concerned with unstable analogues of the
Lichtenbaum-Quillen Conjecture. The Lichtenbaum-Quillen Conjecture (now implied
by the Voevodsky-Rost Theorem) attempts to describe the algebraic K-theory of
rings of integers in number fields in terms of much more accessible "etale
models". Suitable versions of the conjecture predict the cohomology of infinite
general linear groups of rings of S-integers over suitable number fields; our
survey focuses on an unstable version of this form of the conjecture.
