It is proved that for a complete discrete valuation ring of zero characteristic with residue field of positive characteristic and maximal ideal , the natural homomorphism of -groups with coefficients is an isomorphism for all positive and . For the ring of integers in a local field , the groups are finite. Bibliography: 13 titles.
No takes yet. Share an insight, caveat, or question.
Ivan Alexandrovich Panin (1987) studied this question.