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Letpbe an odd rational prime, andL/Ka totally ramified finite abelian extension ofp-adic fields. LetGdenote the Galois group ofL/K. For each idealIof the valuation ring ofLwe study its “associated order”EndQ p[G] (I) with respect to Q p [G]. This order is a natural operating ring for the idealI, and is an important invariant of its Z p [G]-structure. We show that unlessGis...
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