the cyclotomic units are algebraic units
with and relatively prime to (where ). Here we prove that these elements are indeed algebraic units, i.e. .
In order to prove the lemma, we will check that both and are algebraic integers, thus is a unit. Notice that it suffices to prove that is an algebraic integer, because the rest follows from interchanging the role of and .
|Title||the cyclotomic units are algebraic units|
|Date of creation||2013-03-22 14:13:17|
|Last modified on||2013-03-22 14:13:17|
|Last modified by||alozano (2414)|