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This programme illustrates how the (already established) existence of a chain of extension fields has consequences for the structure of the associated Galois group. Finally a quintic whose Galois g...roup is not solvable answers the basic problem. There is no general formula for the the solution of polynomials of degree 5 and higher.
Metadata describing this Open University video programme
Module code and title: M202, Topics in pure mathematics
Item code: M202; 34
First transmission date: 08-10-1973
Published: 1973
Rights Statement:
Restrictions on use:
Duration: 00:23:27
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Producer: Jean Nunn
Contributors: I N Herstein; Don Mansfield; Allan I.,1936-2013 Solomon
Publisher: BBC Open University
Keyword(s): Galois group; Galois theory; Polynomial equations
Master spool number: 6HT/71085
Production number: 00525_4114
Videofinder number: 4039
Available to public: no