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Posted: **Thu May 05, 2022 7:48 pm**

: 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 1 (48.97 KiB) Viewed 23 times

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.