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REFLEXIVE IDEALS IN IWASAWA ALGEBRAS K. ARDAKOV, F. WEI AND J. J. ZHANG
 

Summary: 



REFLEXIVE IDEALS IN IWASAWA ALGEBRAS



K. ARDAKOV, F. WEI AND J. J. ZHANG


Abstract.Let G be a torsionfree compact p-adic analytic group. We give
sufficient conditions on p and G which ensure that the Iwasawa algebra *
*G of
G has no non-trivial two-sided reflexive ideals. Consequently, these con*
*ditions
imply that every nonzero normal element in G is a unit. We show that th*
*ese
conditions hold in the case when G is an open subgroup of SL2(Zp) and p *
*is

  

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

 

Collections: Mathematics