On just infinite pro-p-groups and arithmetically profinite extensions of local fields
| dc.creator | Fesenko, Ivan | |
| dc.date | 1998-02-19 | |
| dc.date.accessioned | 2026-07-07T05:23:53Z | |
| dc.date.available | 2026-07-07T05:23:53Z | |
| dc.description | The wild group is the group of wild automorphisms of a local field of characteristic p. In this paper we apply Fontaine-Wintenberger's theory of fields of norms to study the structure of the wild group. In particular we provide a new short proof of R. Camina's theorem which says that every pro-p-group with countably many open sugroups is isomorphic to a closed subgroup of the wild group. We study some closed subgroups T of the wild group whose commutator subgroup is unusually small. Realizing the group T as the Galois group of arithmetically profinite extensions of p-adic fields we answer affirmatively Coates--Greenberg's problem on deeply ramified extensions of local fields. Finally using the subgroup T we show that the wild group is not analytic over commutative complete local noetherian integral domains with finite residue field of characteristic p. | |
| dc.description | 15 pages, AMSTeX | |
| dc.identifier | https://arxiv.org/abs/math/9802092 | |
| dc.identifier | http://arxiv.org/abs/math/9802092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76626 | |
| dc.subject | Group Theory | |
| dc.subject | Number Theory | |
| dc.subject | 11S15, 20F99, 22E99 | |
| dc.title | On just infinite pro-p-groups and arithmetically profinite extensions of local fields | |
| dc.type | text |