TENSOR PRODUCTS AND ENDOMORPHISM RINGS OF FINITE VALUATED GROUPS

This paper discusses homological properties of a finite valuated p-group A. A category equivalence between full subcategories of the category of valuated p-groups and the category of right modules over the endomorphism ring of A is developed to study A-presented and A-valuated valuated p-groups. In particular, we show that these classes do not coincide if vertical bar A/pA vertical bar > p. Examples are given throughout the paper.