Media Summary: This lecture is part of an online course on Galois theory. We define the The Tower Law contends that finite extensions of finite extensions are finite extensions, and that their degrees multiply. This video screencast was created with Doceri on an iPad. Doceri is free in the iTunes app store. Learn more at ...
302 S5 Splitting Fields - Detailed Analysis & Overview
This lecture is part of an online course on Galois theory. We define the The Tower Law contends that finite extensions of finite extensions are finite extensions, and that their degrees multiply. This video screencast was created with Doceri on an iPad. Doceri is free in the iTunes app store. Learn more at ... Automorphisms are a key tool for understanding field extensions, particularly We show that Q(∛5) is not a normal extension of Q. Field Theory: Let f(x) = x^4 -16x^2 +4. We find the roots of f(x), calculate the
