The Group Ring ofSL2(p2) over thep-adic Integers

The group ring of SL2(2f) over 2-adic integers

“…The next step is to describe the integral group ring RG of G when R is the ring of integers in a ®nite extension of the ®eld Q l of l-adic numbers, to bring together the characteristic 0 and the characteristic l information. So the only remaining case is l p, where the Sylow p-subgroups of G are elementary abelian of rank f. If f 1 one again has the cyclic defect case and for f 2 the group ring Z p G is described up to Morita equivalence in [8]. For odd primes p the Sylow 2-subgroups of G are dihedral groups and [11], Chapter VII investigates RG for l 2.…”