Author: Kevin P. Knudson
Title: Relative completions and the cohomology of linear groups over local
rings

<p>
In this paper we discuss the completion of various groups relative to
a Zariski dense representation in a reductive group S.  This is a 
generalization of the well-known Malcev completion.  We use this construction
to study the second continuous cohomology of linear groups over various rings.
For example, we show that if k is a number field, then the group
H<sup>2</sup><sub>cts</sub>(SL<sub>n</sub>(k[[T]]),k) vanishes for n at least
3.
</p>