10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 2D. 21. 22. 23. Is 3E a cyclic subgroup of Z? What is the order of 4 in Es? What is the order of 2 in Z5? Does 2 generate Z5? What is the order of 2 in U {5)? What is the order of 5 in U{12)? What is the order of z' E C \\ {D}? What is the group structure of U {Q}? Is U(9} a cyclic group? What is the group structure of U (8}? Is U(8) a cyclic group? If 11124 = e in group G, what are possible orders of :1? Suppose G is a nite group with an element 9 with order 5, and and an element 11 of order 7. What are possible orders of G? Show that U (8) and Z4 have different group structures. Show that U (5) and U ( 10) have the same group structure, but not U(12). Do groups Z4 and g x 22 have the same group structure? Do groups ZS, Z4 x 212 and Z2 x Z2 x E2 have the same group structure