PIMS - ULethbridge Distinguished Speaker: Francesco Pappalardi

  • Date: 01/22/2016
  • Time: 12:00
Francesco Pappalardi (Università degli Studi Roma Tre)

University of Lethbridge


Reduction of Groups of Rational Numbers


We shall start by outlining some aspects of the long history of the Artin Conjecture. Then we shall consider a multiplicative subgroup G of Q*. If p is a prime for which the valuation vp(x) = 0 for every x in G, then the group Gp ={x (mod p): x is in G} is a well defined subgroup of Fp. We will consider various properties of Gp as p varies and propose various new results in analogy with the old Artin Conjecture for Primitive roots.



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Location: B660 University Hall