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Question: 57 if g is a group h a subgroup and...

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57. If G is a group, H a subgroup, and z,y E G what does it mean when we say z is congruent to y modulo H, xy (mod H)? 58. If G is a group, H a subgroup, and x E G how is the left coset rH defined? 59. If G is a group and H is a subgroup what is meant by the index of H in G, G: HI?

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