A Galois Group Isomorphic to the Symmetric Group S3

[@girlsinacoma]

Could you compute the basis again by going Q(w)(2^1/3) as it may clarify the discrepancy between the basis and the automorphisms in the text?

[@billkinneymath]

Yes. In fact, if you do a two-step process of constructing a field Q(a,b) by doing Q(a)(b), where a and b are algebraic over Q, then you can find a basis Q(a,b) by multiplying the basis elements at each step.

[@adephagent]

Hi Bill, would you be able to add all of your worked problems in Galois theory to a playlist? Thanks.

[@billkinneymath]

I can do that!

[@billkinneymath]

Here it is: kzbin.info/aero/PLmU0FIlJY-Mlxfn0k-Wj6INm-r1UtINq-

[@billkinneymath]

Here it is: kzbin.info/aero/PLmU0FIlJY-Mlxfn0k-Wj6INm-r1UtINq-

[@adephagent]

@@billkinneymath thanks so much