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Find [G : H] if G = Z 18 and H =. (a) 1.5(b) 3 (c) 6(d) 9 (e) 12(f) 18 (g) None of the above.

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Presentation on theme: "Find [G : H] if G = Z 18 and H =. (a) 1.5(b) 3 (c) 6(d) 9 (e) 12(f) 18 (g) None of the above."— Presentation transcript:

1 Find [G : H] if G = Z 18 and H =. (a) 1.5(b) 3 (c) 6(d) 9 (e) 12(f) 18 (g) None of the above

2 Find [G : H] if G = Z 30 and H =. (a) 1.5(b) 3 (c) 6(d) 9 (e) 12(f) 18 (g) None of the above

3 Find [G : H] if G = S 5 and H = A 5. (a) 1(b) 2 (c) 5(d) 10 (e) 60(f) 120 (g) None of the above

4 Find [G : H] if G = S 5 and H =. (a) 1(b) 2 (c) 5(d) 10 (e) 60(f) 120 (g) None of the above

5 Find [G : H] if G = S 5 and H =. (a) 1(b) 2 (c) 5(d) 30 (e) 60(f) 120 (g) None of the above

6 Find [G : H] if G = Z and H = 3Z. (a) 1(b) 2 (c) 3(d) 5 (e) 60(f) Infinity (g) None of the above

7 How many subgroups does Z 7 have? (a) 1(b) 2 (c) 3(d) 5 (e) 60(f) Infinity (g) None of the above


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