Galois Theory Lecture 4: Examples of Galois Group

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In this session we discuss about the examples of Galois extension and how to find the Galois group by explicitly finding the elements of the Galois group.
  1. Selby's Math Capsule
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Sr how to find galois group of x5+2 in Q

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Automorphism = Duality -- conjugate root theorem.
"Sith lords come in pairs (duals)" -- Obi Wan Kenobi.
Injective is dual to surjective synthesizes bijective or isomorphism.
Subfields are dual to subgroups -- the Galois correspondence.
"Always two there are" -- Yoda.
Brahman (thesis, the creator God) is dual to Shiva (anti-thesis, the destroyer God) synthesizes Vishnu (the preserver God) -- the time independent Hegelian dialectic.
Hinduism is consistent with the Hegelian dialectic!
Duality (thesis, anti-thesis) creates reality (non duality).

hyperduality