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 |
|---|---|
| Item code: | M202; 34 |
| First transmission date: | 08-10-1973 |
| Published: | 1973 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:23:27 |
| + Show more... | |
| 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 |