10. [6 points) Let G be a group of order 91 (= 13 x 7), not necessarily cyclic. Use Lagrange’s theorem to prove that every proper subgroup of G is cyclic. DHE

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10. [6 points) Let G be a group of order 91 (= 13 x 7), not necessarily cyclic. Use Lagranges theorem to prove that every pr

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If His subgroup of a then by Lagranges theorem OCH) divides OCG) - OCH) lo(a) AS O(G) = 91 = OCH) 1 91. Then OCH) can be 1,7