### Relative K_0, annihilators, Fitting ideals and the Stickelberger phenomena, by Victor Snaith

When G is abelian and l is a prime we show how elements of the relative
K-group K_0(Z_l[G], Q_l) give rise to annihilator/Fitting ideal relations of
certain associated Z[G]-modules. Examples of this phenomenon are ubiquitous.
Particularly, we give examples in which G is the Galois group of an extension
of global fields and the resulting annihilator/Fitting ideal relation is
closely connected to Stickelberger's Theorem and to the conjectures
of Coates-Sinnott and Brumer.

Victor Snaith <vps@maths.soton.ac.uk>