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International Conference and Workshop on Valuation Theory
July 26 - August 11, 1999
University of Saskatchewan
Saskatoon, SK, Canada

Organizers
Franz-Viktor Kuhlmann, Salma Kuhlmann, Murray Marshall, Deirdre Haskell, Hans Schoutens

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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.