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

William Woods

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)477-509
Number of pages33
JournalPacific Journal of Mathematics
Volume297
Issue number2
DOIs
StatePublished - 1 Jan 2018
Externally publishedYes

Keywords

  • Faithful prime ideals
  • Nilpotent Iwasawa algebras

ASJC Scopus subject areas

  • General Mathematics

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