On the hermitian picard group of a congruence order

Abstract

In this note methods are developed which permit us to concretely calculate the hermitian Picard group of a congruence order A over a discrete valuation ring, with respect to an involution α of A. In particular, this allows us to exhibit some explicit examples of algebras A whose hermitian Picard group strongly depends upon the chosen involution on A.

^*Research supported by H.C.M. grant CHRX-CT93-0091.

^*Research supported by H.C.M. grant CHRX-CT93-0091.

Notes

^*Research supported by H.C.M. grant CHRX-CT93-0091.