b) Show that in an abelian group G, the set of all elements with finite order...

 

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b) Show that in an abelian group G, the set of all elements with finite order in G is a subgroup of G. (5 marks) c) Let G be the set of eight elements given by with multiplication given by,,, . Construct a multiplication table for the group. Consider the cyclic group group. list all the distinct cosets of H in G. normal subgroup of G? (6marks) i. ii. (6 marks) Is Ha b) Show that in an abelian group G, the set of all elements with finite order in G is a subgroup of G. (5 marks) c) Let G be the set of eight elements given by with multiplication given by,,, . Construct a multiplication table for the group. Consider the cyclic group group. list all the distinct cosets of H in G. normal subgroup of G? (6marks) i. ii. (6 marks) Is Ha