Abelian group matrices over the p-adic and rational integers

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.

DIGRAPH REPRESENTATIONS OF RATIONAL FUNCTIONS OVER THE p-ADIC NUMBERS

In this paper, we construct a digraph structure on padic dynamical systems defined by rational functions. We study the conditions under which the functions are measure-preserving, invertible and isometric, ergodic, and minimal on invariant subsets, by means of graph theoretic properties.

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.

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.