### Integral homology of PGL_{2} over elliptic curves, by Kevin P. Knudson

In this note we compute the homology of PGL_{2}(A), where
A is the coordinate ring of an elliptic curve defined by some
Weierstrass equation (i.e., the curve has a unique point at infinity).
We assume our ground field is infinite. For each i>0, the group
H_{i} consists of a number direct summands of the form
H_{i}(PGL_{2}(k)) and summands of the form
H_{i}(k^{*}) as well as a few additional summands in
certain cases. If k is algebraically closed, we derive
a rigidity statement as a corollary.

The files `no.ps`, `unique.ps` and `distinct.ps` are
postscript files containing illustrations for the paper. Dvips knows how to
use them when processing `elliptic.dvi`. If you download
`elliptic.ps`, you don't need those other files. Each file also comes
in a compressed version, whose name ends with `.gz`.

Kevin P. Knudson <knudson@math.nwu.edu>