Question

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.

Answer 1

Unfortunately, your question requires a lot of work and cannot be done for free. Please submit it with all requirements as an assignment to our control panel and we'll assist you.