1. ## Help with Groups

Can i please get an example done with full working so I understand all parts;
Closure, Indenties, Inverse and Asscoiativity

1. Show that the set of powers of 4 forms a group under multiplication.

Thank you

2. Originally Posted by holmesb
Can i please get an example done with full working so I understand all parts;
Closure, Indenties, Inverse and Asscoiativity

1. Show that the set of powers of 4 forms a group under multiplication.

Thank you
What?!?

1)Let <G,*> be a group.
2)Let S={x^4 | x in G}
3)Then S is a group (actually subgroup of G) under *.

Is that it?
(EDIT: I realized that we need the fact that G is abelian, for S to be a subgroup).