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Suppose Km={P∈Sm|, |P| is odd prime}. Determine the set for which m≥3 Km a subgroup of Sm.(a) {3, 5, 7, 11, 13, …}(b) {-14, -8, -3, 0, 3, 8, 14}(c) {2, 4, 6, 8, 10, 12}(d) {12, 25, 56, 78, 134,…}I had been asked this question during an online interview.This interesting question is from Permutation Groups topic in chapter Groups of Discrete Mathematics |
Answer» CORRECT ANSWER is (a) {3, 5, 7, 11, 13, …} Easy explanation: SINCE Km is a subset of SM, then the set will be {3, 5, 7, 11, 13, …}. |
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