Question: Exercise 4. Let X = C {1} and Y = C {/2+k, k Z} and consider the covering sin: Y X. We define (a)

$Exercise 4. Let X = C\ {1} and Y = C\ {/2+k,$

Exercise 4. Let X = C\ {1} and Y = C\ {/2+k, k Z} and consider the covering sin: Y X. We define (a) Compute f fe, fk fk(z) = 2 + 2k, ke Z 9k (2) = = 2+2k, kZ ge, 9k fe, Gk gl. sin (b) Show that Deck (Y S, X) = {fk, ge : k, l = Z}. (c) Describe Deck (Y sin, X) as a semi-direct product. 25 P.

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a We compute fi fe fk ge fi fe z 2i 2e z 2i e fk ge z 2k 2g z 2k g b To show that DeckY sin X fk ge kl Z we must show that each element of the set is ... View full answer

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