William (Billy) Woods

activity

20122023

most citedExtensions of almost faithful prime ideals in virtually nilpotent mod-

p

Iwasawa algebras

2 citations · 5 across the 7 of their papers we have counts for

collaborators

8 papers

math.RA2023

Filtered skew derivations on simple artinian rings

Adam Jones, William Woods

Given a complete, positively filtered ring $(R, f)$ and a compatible skew derivation $(σ, δ)$ , we may construct its skew power series ring $R [[x; σ, δ]]$ . Due to topological obstructio…

math.AC2021

Skew power series rings over a prime base ring

Adam Jones, William Woods

In this paper, we investigate the structure of skew power series rings of the form $S = R [[x; σ, δ]]$ , where $R$ is a complete filtered ring and $(σ, δ)$ is a skew derivation respecti…

math.RA2019

The conjugation action in completed group rings

William Woods

Let $k = F_{p}$ or $Z_{p}$ (or finite extensions of these). Let $G$ be a $p$ -valuable group, and form its completed group algebra $k G$ . By analysing the conjugation a…

math.RA2017

On the catenarity of virtually nilpotent mod- $p$ Iwasawa algebras

William Woods

Let $p > 2$ be a prime, $k$ a finite field of characteristic $p$ , and $G$ a nilpotent-by-finite compact $p$ -adic analytic group. Write $k G$ for the completed group ring of $G$ over $…

math.RA2016★ 2 cited

Extensions of almost faithful prime ideals in virtually nilpotent mod- $p$ Iwasawa algebras

William Woods

Let $G$ be a nilpotent-by-finite compact $p$ -adic analytic group for some $p > 2$ , and $H = FN_{p} (G)$ its finite-by-(nilpotent $p$ -valuable) radical. Fix a finite field $k$ o…

math.GR2016

On the structure of virtually nilpotent compact $p$ -adic analytic groups

William Woods

Let $G$ be a compact $p$ -adic analytic group. We recall the well-understood finite radical $Δ^{+}$ and FC-centre $Δ$ , and introduce a $p$ -adic analogue of Roseblade's subgroup $\math…

Filtered skew derivations on simple artinian rings

Skew power series rings over a prime base ring

The conjugation action in completed group rings

On the catenarity of virtually nilpotent mod-p Iwasawa algebras

Extensions of almost faithful prime ideals in virtually nilpotent mod-p Iwasawa algebras

On the structure of virtually nilpotent compact p-adic analytic groups

On the catenarity of virtually nilpotent mod- $p$ Iwasawa algebras

Extensions of almost faithful prime ideals in virtually nilpotent mod- $p$ Iwasawa algebras

On the structure of virtually nilpotent compact $p$ -adic analytic groups