The Group Ring of SL2(pf) over p-adic Integers for p Odd

The Group Ring of Sl 2 (p F P-adic Integers for P Odd

Let p > 2 be a prime, 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.

Group Rings over the p-Adic Integers

The group ring of SL 2 ( p 2 ) over the p - adic integers

This paper describes the ring theoretic structure of the group rings of SL 2 (p 2) over the p-adic integers.

THE RING OF p-ADIC INTEGERS

Let k > 1 be an integer and let p be a prime. We show that if pa 6 k < 2pa or k = paq + 1 (with q < p/2) for some a = 1, 2, 3, . . . , then the set { (n k ) : n = 0, 1, 2, . . . } is dense in the ring Zp of p-adic integers, i.e., it contains a complete system of residues modulo any power of p.

Liapunov Stability and the ring of P -adic integers

It is well-known that stable Cantor sets are topologically conjugate to adding machines. In this work we show are also conjugate to an algebraic object, the ring of P−adic integers with respect to group tramnslation. This ring is closely related to the field of p-adic numbers; connections and distintions are explored. The inverse limit construction provides a purely dynamical proof of an algebr...