Question: let D6 be the dihedral group with 12 elements(i.e. the group of symmetries of a regular hexagon). D6 can be described as the set D6=

let D6 be the dihedral group with 12 elements(i.e. the group of symmetries of a regular hexagon).

D6 can be described as the set D6= {e, R, R^2, R^3, R^4, R^5, F, FR, FR^2, FR^3, FR^4, FR^5}.....

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6. Let D6 be the dihedral group with 12 elements (i.e. the group of symmetries of a regular hexagon). D6 can be described as the set D6 = {6,12,R2,R3,R4,R5,F,FR,FR2,FR3,FR4,FR5} Where R is a nontrivial rotation and F is a ip. The elements in D5 satisfy the relations R6 = e, F2 = e, and FR = R'lF. (a) Find Z (D5). You don't need to provide a proof, but feel free to do it if you want. (b) Find Inn(D5), the group of inner automorphisms of D5. Justify your an swer

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