Lalthazuala posted an Question
February 09, 2022 • 00:55 am 30 points
  • IIT JAM
  • Mathematics (MA)

22. the order of subgroup< 5> < 3> in z30 z,, is (a) 6 (b) 12 (c) 24 23. x = x, x, ... x,y is an n-tuple non-zero vector tha (d) 30

22. The order of subgroup< 5> < 3> in Z30 Z,, is (a) 6 (b) 12 (c) 24 23. X = X, X, ... X,Y is an n-tuple non-zero vector Tha (d) 30

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  • Anonymous User best-answer

    since O(5)=6 in Z30 and O(3)=4 in Z12. The order of the group generated by both should be l.c.m of the orders of both elements. so order of sungroup generated by <5>+<3> is 12

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