Prove that is isomorphic to Dn.(This exercise is referred

Chapter 26, Problem 9E

(choose chapter or problem)

Prove that \(G=\left\langle x, y \mid x^{2}=y^{n}=e, x y x=y^{-1}\right\rangle\) is isomorphic to \(D_n\). (This exercise is referred to in the proof of Theorem 26.5.)

Theorem 26.5 Characterization of Dihedral Groups

Any group generated by a pair of elements of order 2 is dihedral.

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