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Last year at the International Congress of Mathematicians (ICM `94) in
Zürich, Switzerland one of the four recipients of the Fields Medal was
a mathematician from the former Soviet Union--Prof. Efim Zelmanov, now
at the University of Wisconsin, USA. He has used techniques from the theory
of non-commutative rings to settle a problem in group theory known as
the Restricted Burnside Problem. In the following article I attempt to
give a flavour of this Problem and the method of its final resolution.
The material is largely based on the talk given by Zelmanov given at the
ICM `90 held in Kyoto, Japan.
Kapil Hari Paranjape