Vol. 297, No. 2, 2018

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 323: 1
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Vol. 317: 1  2
Vol. 316: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
Extensions of almost faithful prime ideals in virtually nilpotent mod-$p$ Iwasawa algebras

William Woods

Vol. 297 (2018), No. 2, 477–509

Let G be a nilpotent-by-finite compact p-adic analytic group for some p > 2, and H = FNp(G) be its finite-by-(nilpotent p-valuable) radical. Fix a finite field k of characteristic p, and write kG for the completed group ring of G over k. We show that almost faithful G-stable prime ideals P of kH extend to prime ideals PkG of kG. This is a crucial building block in understanding the prime spectrum of kG.

faithful prime ideals, nilpotent Iwasawa algebras
Mathematical Subject Classification 2010
Primary: 16D25, 16S34, 16S35, 16W60
Received: 12 August 2017
Revised: 26 March 2018
Accepted: 28 April 2018
Published: 20 December 2018
William Woods
School of Mathematics and Statistics
University of Glasgow
United Kingdom