GALOIS MODULE STRUCTURE OF THE INTEGERS IN WILDLY RAMIFIED CYCLIC EXTENSIONS

[摘要] This work is concerned with the Galois module structure of the ring of integers in totally ramified cyclic extensions, L/K, of local fields whose characteristic is zero, [L:A] = p(m), m arbitrary and p an odd prime. Under a restriction on the first ramification number, the structure of the ring of integers of L is described in terms of explicit indecomposable Z(p)[G]-modules, G denoting the Galois group and Z(p), the ring of p-adic integers. This explicit description is an extension of the results in a recent paper of M. Rzedowski-Calderon, G. D. Villa-Salvador, and M. L. Madan (1990, Math. Z. 204, 401-424). (C) 1994 Academic Press, Inc.

[发布日期] 1994-05-01