Maximal subfields of Q(i)-division rings
Steven Liedahl · Pacific Journal of Mathematics · 1996
In this paper we determine the Q(i)-division rings which have maximal subfields of the form E(i), where E/Q is cyclic and i = y/-l.These are precisely the (5(i)-division rings having maximal subfields which are abelian over Q.More generally we determine the Q(i)-division rings having maximal subfields which are Galois over Q.We show that a division ring D contains such subfields if and only if the same is true for the 2-part of the Sylow decomposition of D.