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arXiv · 1610.03740

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

William Woods
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Abstract

Let $G$ be a nilpotent-by-finite compact $p$-adic analytic group for some $p>2$, and $H = \mathbf{FN}_p(G)$ 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 $kG$.

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BibTeXRIS

William Woods. 2016-10-12. Extensions of almost faithful prime ideals in virtually nilpotent mod-$p$ Iwasawa algebras. https://doi.org/10.2140/pjm.2018.297.477

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