We study the groups in the unit filtration of a finite abelian extension of for an odd prime . We determine explicit generators of the as modules over the -group ring of . We work in eigenspaces for powers of the Teichmüller character, first at the level of the field of norms for the extension of by -power roots of unity and then at the level of .
"Galois module structure of local unit groups." Algebra Number Theory 7 (1) 157 - 191, 2013. https://doi.org/10.2140/ant.2013.7.157