Summary: 



LOCALISATION AT AUGMENTATION IDEALS IN IWASAWA

ALGEBRAS



KONSTANTIN ARDAKOV



Abstract.Let G be a compact p-adic analytic group and let G be its
completed group algebra with coefficient ring the p-adic integers Zp. We
show that the augmentation ideal in G of a closed normal subgroup H of
G is localisable if and only if H is finite-by-nilpotent, answering a qu*
*estion
of Sujatha. The localisations are shown to be Auslander-regular rings wi*

Source: Ardakov, Konstantin - School of Mathematical Sciences, University of Nottingham

Collections: Mathematics