Valuations and Maximal Subgroups of D*
by
Mohammad Mahdavi-Hezavehi
Sharif University of Technology, Teheran

Let D be a division ring with centre F . Denote by D^* the multiplicative group of D . The relation between valuations on D and maximal subgroups of D^* is investigated. In particular, it is shown that there is a 1-1 correspondence beween the set of maximal subgroups of the nonzero rational numbers Q^* and the set of all principal valuations and the absolute value on Q .

Date received: July 5, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-68.