Let G = {a,b,c,d,e,f}. Define the operation on G by the following Cayley table: e abcd...

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Let G = {a,b,c,d,e,f}. Define the operation on G by the following Cayley table: e abcd f eeabcdf a abcdfe bbcdfe a ccdfea b ddfe abc ff e abc d Find subgroups H=(f) = {f" eG neZ}. Let n ≥ 3 and consider the Dihedral group D. Show that H = {ge D₂|gow, og¹=w₁} is a subgroup of D. Let G = {a,b,c,d,e,f}. Define the operation on G by the following Cayley table: e abcd f eeabcdf a abcdfe bbcdfe a ccdfea b ddfe abc ff e abc d Find subgroups H=(f) = {f" eG neZ}. Let n ≥ 3 and consider the Dihedral group D. Show that H = {ge D₂|gow, og¹=w₁} is a subgroup of D.