Show that there are exactly 4 distinct homomorphisms from Z2 into Aut (Z8). Prove that the resulting semidirect products are the groups: Z8 ×Z2, D16, the quasidihedral group Q D16 and the modular group M (cf. the exercises in Section 2.5). | Numerade
Show that there are exactly 4 distinct homomorphisms from Z2 into Aut (Z8). Prove that the resulting semidirect products are the groups: Z8 ×Z2, D16, the quasidihedral group Q D16 and the modular group M (cf. the exercises in Section 2.5). | Numerade
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