Hopf-Galois module structure of tame biquadratic extensions
In [14] we studied the nonclassical Hopf-Galois module structure of rings of algebraic integers in some tamely ramified extensions of local and global fields, and proved a partial generalisation of Noether’s theorem to this setting. In this paper we consider tame Galois extensions of number fields with group and study in detail the local and global structure of the ring of integers as a module over its associated order in each of the Hopf algebras giving a nonclassical Hopf-Galois structure...