
Description
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.
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.
Module code and title: | M202, Topics in pure mathematics |
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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 |