University of Cambridge > Talks.cam > Number Theory Seminar > Galois action on units of rings of integers

Galois action on units of rings of integers

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  • UserAlex Torzewski (University of Warwick) World_link
  • ClockTuesday 14 February 2017, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact G. Rosso.

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 scalars 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 properties 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 determined by data involving only class groups.

This talk is part of the Number Theory Seminar series.

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