Question: 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

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

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 D|gow, og=w} is a subgroup of D.

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