# Answer to Question #35820 in Abstract Algebra for sakura

Question #35820

list all the proper subgroup of the multiplicative Z18

Let G be a group with respect to binary operation and a be an arbitrary element of G. Show that H={x:x E G, x binary operation a=a binary operation x} is a subgroup G.

Show that the set {x:x E I, 5/x} is a subgroup of the additive group I.

Let G be a group with respect to binary operation and a be an arbitrary element of G. Show that H={x:x E G, x binary operation a=a binary operation x} is a subgroup G.

Show that the set {x:x E I, 5/x} is a subgroup of the additive group I.

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