Recent content by himynameJEF

oh! yes sorry your right so how would i explain this? and then determine the number of subgroups? thanks!

thanks i understand it now! :) also another question Let H be any subgroup of G other than G itself. explain why H is cyclic? since G is prime then |H| is 1 or 7. then H must equal G and it would be cyclic but the question says any other subgroup other than G so H must be {e}? is this cyclic...

hi! :) ( 1 2 3 4 5 6 7 )2 would be ( 1 3 5 7 2 4 6 )? and that would be an order of 7? thanks!

Let G be the group of symmetries (including flips) of the regular heptagon (7-gon). As usual, we regard the elements of G as permutations of the set of vertex labels; thus, G ≤ S7. (a) Let σ denote the rotation of the 7-gon that takes the vertex 1 to the vertex 2. Write down the cyclic...

I'm trying to figure out how to prove this, but I'm unsure how to approach it. Let G and H be groups, let ϕ: G → H be an isomorphism, and let ψ be the inverse function of ϕ. Prove that ψ is an isomorphism from H to G. any help? thanks