G. G. Elder

activity

20052023

most citedSufficient Conditions for Large Galois Scaffolds

10 citations · 15 across the 11 of their papers we have counts for

collaborators

13 papers

math.NT2023

Galois scaffolds for $p$ -extensions in characteristic $p$

G. Griffith Elder, Kevin Keating

Let $K$ be a local field of characteristic $p > 0$ with perfect residue field and let $G$ be a finite $p$ -group. In this paper we use Saltman's construction of a generic $G$ -extensio…

math.NT2023

A converse to the Hasse-Arf theorem

G. Griffith Elder, Kevin Keating

Let $L / K$ be a finite Galois extension of local fields. The Hasse-Arf theorem says that if Gal $(L / K)$ is abelian then the upper ramification breaks of $L / K$ must be integers. We pr…

math.NT2022

Galois scaffolds for cyclic $p^{n}$ -extensions in characteristic $p$

G. Griffith Elder, Kevin Keating

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 f…

math.NT2018

Refined ramification breaks in characteristic $p$

G. Griffith Elder, Kevin Keating

Let $K$ be a local field of characteristic $p$ and let $L / K$ be a totally ramified elementary abelian $p$ -extension with a single ramification break $b$ . Byott and Elder defined th…

math.NT2013★ 10 cited

Sufficient Conditions for Large Galois Scaffolds

Nigel P. Byott, G. Griffith Elder

Let $L / K$ be a finite Galois, totally ramified $p$ -extension of complete local fields with perfect residue fields of characteristic $p > 0$ . In this paper, we give conditions, valid…

math.NT2013

Scaffolds and Generalized Integral Galois Module Structure

Nigel P. Byott, Lindsay N. Childs, G. Griffith Elder

Let $L / K$ be a finite, totally ramified $p$ -extension of complete local fields with residue fields of characteristic $p > 0$ , and let $A$ be a $K$ -algebra acting on $L$ . We define…

Galois scaffolds for p-extensions in characteristic p

A converse to the Hasse-Arf theorem

Galois scaffolds for cyclic pn-extensions in characteristic p

Refined ramification breaks in characteristic p

Sufficient Conditions for Large Galois Scaffolds

Scaffolds and Generalized Integral Galois Module Structure

Galois scaffolds for $p$ -extensions in characteristic $p$

Galois scaffolds for cyclic $p^{n}$ -extensions in characteristic $p$

Refined ramification breaks in characteristic $p$