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SUMMARY:Galois action on units of rings of integers - Alex Torzewski (Univ
 ersity of Warwick)
DTSTART:20170214T143000Z
DTEND:20170214T153000Z
UID:TALK69911@talks.cam.ac.uk
CONTACT:G. Rosso
DESCRIPTION:Given a finite Galois extension K/Q\, the units of the ring of
  integers of K canonically define a Z[Gal(K/Q)]-module M. If we extend sca
 lars to Q\, then its isomorphism class is determined by the signatures of 
 the intermediate subfields of K/Q. It is much less clear what arithmetic p
 roperties are carried by the isomorphism class of M itself. We shall show 
 that for some families of number fields\, the isomorphism class of M is de
 termined by data involving only class groups.
LOCATION:MR13
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