Virtually nilpotent mod-𝑝 Iwasawa algebras are catenary

Fix a prime 𝑝 > 2. Let G be a nilpotent-by-finite compact 𝑝-adic analytic group, and k a finite field of characteristic 𝑝. We prove that kG is a catenary ring.

Bibliographic Details
Main Author: Woods, W
Other Authors: Ardakov, K
Format: Thesis
Language:English
Published: 2016
Subjects:
Description
Summary:Fix a prime 𝑝 > 2. Let G be a nilpotent-by-finite compact 𝑝-adic analytic group, and k a finite field of characteristic 𝑝. We prove that kG is a catenary ring.