Finite valuated groups as modules over their endomorphism ring

Abstract

This paper discusses the structure of a nite valuated p-group
when viewed as a module over its endomorphism ring. A category equivalence
between full subcategories of the category of valuated p-groups and the cate-
gory of right modules over the endomorphism ring of A is used to investigate
the interaction between this module structure and homological properties of
the underlying group. Examples are given throughout the paper.