I understand what this means--F:Z_{25}→Z_{25}--but you haven't specified a rule or formula for your function F, so it's impossible to determine whether it's an isomorphism.I am not exactly sure on the type. We are working on Boolean Algebra, functions, and inverse functions. My professor gave us a handout that had inverse functions, injective,surjective, and bijective function questions.
The only one I am having problems with is the isomorphism question.
I came up with F:Z_{25}→Z_{25} and then f:(A)=1, f:(B)=6, f:(C)=8, f:(D)=3, f:(G)=5, f:(H)=2 which equals 25 elements, but I don't think this is close.
I have absolutely no idea what you're saying here. What function f are you talking about? Are f and F the same thing or different? If they're the same, pick one letter and use it consistently. What are a, b, c, etc.? Is A different from a? What do you mean when you write F(A) = f(a) = 1?Sorry I meant F(A)=1. I added the f(a)=1, f(b)=6, etc. numbers up to get 25. I'm not sure how to specify a rule or formula for my function.