Decide which of the elements 2,3, and 5 are generators of the group Z/6
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Decide which of the elements 2,3, and 5 are generators of the group Z/6.
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- For each of the following values of n, find all distinct generators of the group Un described in Exercise 11. a. n=7 b. n=5 c. n=11 d. n=13 e. n=17 f. n=19Exercises 9. For each of the following values of, find all distinct generators of the cyclic group under addition. a. b. c. d. e. f.The alternating group A4 on 4 elements is the same as the group D4 of symmetries for a square. That is. A4=D4.
- Find the normalizer of the subgroup (1),(1,3)(2,4) of the octic group D4.38. Let be the set of all matrices in that have the form with all three numbers , , and nonzero. Prove or disprove that is a group with respect to multiplication.Exercises 13. For each of the following values of, find all subgroups of the group described in Exercise, addition and state their order. a. b. c. d. e. f.