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
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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?!? What are you talking about? Are you talking about this: 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).
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