Ring-theoretic properties of Iwasawa algebras: a survey

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This is a survey of the known properties of Iwasawa algebras, which are completed group rings of compact p-adic analytic groups with coefficients the ring Zp of p-adic integers or the field Fp of p elements. A number of open questions are also stated.
27 pages, submitted to the John Coates volume of Documenta Mathematica

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