Topological Hochschild homology of Z/p(n)

This paper gives a computation of topological Hochschild homology for Z/p(n ) for any prime p and any number n greater than or equal to 2 based on Boks tedt's computation of topological Hochschild homology for Z/p. The most imp ortant idea in the computation is to consider Z/p(n) as a filtered ring, an d to construct a spectral sequence for topological Hochschild homology of a filtered ring. The product on topological Hochschild homology is used exte nsively, and a direct description of this product is given. (C) 2000 Elsevi er Science B.V. All rights reserved. MSC: Primary 19D55; secondary 16E40.