The group ring of $SL_2(p^f)$ over $p$-adic integers for $p$ odd.
(submitted)

Gabriele Nebe 
Lehrstuhl B f\"ur Mathematik,
 RWTH Aachen, 
Templergraben 64,
52062 Aachen,
Germany
URL:
http://samuel.math.rwth-aachen.de/~LBFM/gabi/


Let $p>2$ be a prime, $R=\Z _p[\zeta _{p^f-1}]$, 
$K=\Q_p[\zeta _{p^f-1}]$ and $G=SL_2(p^f)$.
The group ring  $RG$ is calculated 
nearly up to Morita equivalence:
The projections of $RG$ into the simple components of $KG$ are given
explicitly and
the endomorphism rings and homomorphism bimodules between the
projective indecomposable $RG$-lattices are described.

1991 Mathematics Subject Classification:
20C05, 20C11