Definition: We call a covering f: Y X Galois if Deck(Y|X) acts transitively on the fibers...

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Definition: We call a covering f: Y X Galois if Deck(Y|X) acts transitively on the fibers of f. Exercise 5. 20 P. Let X = C\ {0, 1} and Y =C\ {0, ±i, tiV2} and let f: Y X be given by f(z) = (z2 + 1)2. Show that f is a 4-sheeted covering that is not Galois and find Deck(Y/X). Definition: We call a covering f: Y X Galois if Deck(Y|X) acts transitively on the fibers of f. Exercise 5. 20 P. Let X = C\ {0, 1} and Y =C\ {0, ±i, tiV2} and let f: Y X be given by f(z) = (z2 + 1)2. Show that f is a 4-sheeted covering that is not Galois and find Deck(Y/X).