Wedderburn's Method applied to finite homomorphic images
by
Louis H. Rowen
Bar-Ilan University
Coauthors: Y. Segev

D denotes a division algebra having center F. ``Wedderburn's method'' is the theory Wedderburn developed to factor polynomials over D. Although Wedderburn's method was reviewed by this author in an article for the proceedings of the 1992 Ohio State-Denison conference, it recently has played a key role in the proof of a theorem of Rowen-Segev, that in case D has degree 3, then any finite homomorphic image of the multiplicative subgroup of D is solvable. More recently we have extended this result to degree 5. Our object is to update the 1992 survey to include a short proof of these theorems plus other results concerning the multiplicative structure of D, using Wedderburn's method.

Date received: January 17, 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 # cabw-50.