Completed group algebras without zero divisors

DOI10.1007/BF01261969zbMath0669.16007MaRDI QIDQ1118665

Andreas Neumann

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

completiongroup ringzero divisorsdomainfinite global dimensionfinite imagesopen subgroupsfinite subnormal series of closed subgroupsprojective limit of local ringstorsion free analytic pro-p group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Limits, profinite groups (20E18)

Related Items (25)

On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions ⋮ On the complete faithfulness of the $p$-free quotient modules of dual Selmer groups ⋮ $\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮ Homological properties of abstract and profinite modules and groups. ⋮ On order of vanishing of characteristic elements ⋮ On the growth of even \(K\)-groups of rings of integers in \(p\)-adic Lie extensions ⋮ A remark on the 𝔐_H(G)-conjecture and Akashi series ⋮ On the structure of virtually nilpotent compact \(p\)-adic analytic groups ⋮ Control theorems for fine Selmer groups ⋮ Structure of fine Selmer groups over -extensions ⋮ On the Galois structure of some pro-\(p\)-extensions of number fields ⋮ The vanishing of Iwasawa's \(\mu\)-invariant implies the weak Leopoldt conjecture ⋮ Normal elements of noncommutative Iwasawa algebras over \(\mathrm{SL}_{3}(\mathbb{Z}_{p})\) ⋮ PLONGEMENTS LOCAUX ET EXTENSIONS DE CORPS DE NOMBRES ⋮ Fine Selmer groups of congruent Galois representations ⋮ A note on asymptotic class number ppper bounds in \(p\)-adic Lie extensions ⋮ Normal elements in the mod-\(p\) Iwasawa algebra over \(\mathrm{SL}_n(\mathbb{Z}_p)\): a computational approach ⋮ NORMAL ELEMENTS OF COMPLETED GROUP ALGEBRAS OVER SL_n(ℤ_p) ⋮ Some remarks on Kida's formula when \(\mu\neq 0\) ⋮ Reflexive ideals and completely faithful modules of Iwasawa algebras ⋮ Arithmetic statistics and noncommutative Iwasawa theory ⋮ Primeness, semiprimeness and localisation in Iwasawa algebras ⋮ On the codimension of modules over skew power series rings with applications to Iwasawa algebras. ⋮ On a conjecture of E. Rapaport Strasser about knot-like groups and its pro-\(p\) version. ⋮ On completely faithful Selmer groups of elliptic curves and Hida deformations

Cites Work

• Unnamed Item
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• Powerful \(p\)-groups. I: Finite groups.
• Projective modules
• \(K_0\) and noetherian group rings
• Sur la dimension cohomologique des groupes profinis
• \(p\)-adic analytic groups
• Noetherian Rings of Finite Global Dimension
• A Change of Rings Theorem and the Artin-Rees Property
• Local Rings and Normalizing Sets of Elements

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