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Consider the finite group G consisting of the elements a, b, c, d, e and f, under the operation o, represented by the following Cayley

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Consider the finite group G consisting of the elements a, b, c, d, e and f, under the operation o, represented by the following Cayley table. O a C e a a b C b b a of C C G a e d b d e f a b e d b C a C d b a e (a) What is bod? (b) What is the identity element of G? (c) What is the inverse of f? (d) Consider the subgroup J = {a, b} of G. By finding the left and right cosets of J in G, determine whether or not J is a normal subgroup of G

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