2. Let G be a group of order |G| = 55. (a) Show that G has a normal 11-Sylow subgroup. (b) Show that if G has a normal 5
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2. Let G be a group of order |G| = 55. (a) Show that G has a normal 11-Sylow subgroup. (b) Show that if G has a normal 5
2. Let G be a group of order |G| = 55. (a) Show that G has a normal 11-Sylow subgroup. (b) Show that if G has a normal 5-Sylow subgroup, then G is cyclic. (c) Show that if G does not have a normal 5-Sylow subgroup, then G is isomorphic to a subgroup of S11.
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