Editing Transfer (group theory) (section)

==Example==

If ''G'' is cyclic then the transfer takes any element ''y'' of ''G'' to ''y''<sup>[''G'':''H'']</sup>.

A simple case is that seen in the [[Gauss's lemma (number theory)|Gauss lemma]] on [[quadratic residue]]s, which in effect computes the transfer for the multiplicative group of non-zero [[residue class]]es modulo a [[prime number]] ''p'', with respect to the subgroup {1, &minus;1}.<ref name=S122/>  One advantage of looking at it that way is the ease with which the correct generalisation can be found, for example for cubic residues in the case that ''p'' &minus; 1 is divisible by three.