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- Title
Galois scaffolds for cyclic pn-extensions in characteristic p.
- Authors
Elder, G. Griffith; Keating, Kevin
- Abstract
Let K be a local field of characteristic p and let L/K be a totally ramified Galois extension such that Gal (L / K) ≅ C p n . In this paper we find sufficient conditions for L/K to admit a Galois scaffold, as defined in Byott et al (Ann Inst Fourier 68:965–1010, 2018). This leads to sufficient conditions for the ring of integers O L to be free of rank 1 over its associated order A , and to stricter conditions which imply that A is a Hopf order in the group ring K [ C p n ] .
- Subjects
ORDERED groups; RINGS of integers; GALOIS theory
- Publication
Research in Number Theory, 2022, Vol 8, Issue 4, p1
- ISSN
2522-0160
- Publication type
Article
- DOI
10.1007/s40993-022-00381-2