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arXiv · 1811.12842

Completed Group Algebras of Abelian-by-procyclic Groups

Adam Jones
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Abstract

Let p be a prime, let G be a p-valuable, abelian-by-procyclic group, and let k be a field of characteristic p. We will prove that all faithful prime ideals of the completed group algebra kG are controlled by the centre of G, and a complete decomposition for Spec(kG) will follow. The principal technique we employ will be to study the convergence of Mahler expansions for inner automorphisms.

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BibTeXRIS

Adam Jones. 2018-11-30. Completed Group Algebras of Abelian-by-procyclic Groups. https://arxiv.org/abs/1811.12842

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