2. Let G = {a, b, c, d, e} with the operation * defined by the table below. Determine if the system (G, *) is a group. * a b C d a a b C d b b a d C C C d b a d d C a b

Represent the symmetry group of an equilateral triangle as a groupof permutations of its vertices

Determine whether the set G is a group under the operation * G={n integer|n is odd}; a*b=a+b

Find the GCD and LCM for each of the following groups of numbers using the intersection-of-sets method. GCD(8,24,64)= LCM(8,24,64)=