Sahin Sk posted an Question
January 09, 2022 • 02:25 am 30 points
  • IIT JAM
  • Mathematics (MA)

(a) let h and k be two subgroups of a commutative group g. suppose that |h| = m and |k| =n. let d = lcm(m, n). show that g has a subgroup of order d.

(a) Let H and K be two subgroups of a commutative group G. Suppose that |H| = m and |K| =n. Let d = lcm(m, n). Show that G has a subgroup of order d.

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  • Anonymous User best-answer

    (C*,x) be a commutative group H = cubic root of unity is a subgroup of order 3 K is 4th root of unity is subgroup of unity d=LCM(3,4)=12 12th root of unity is subgroup of unity HXK is subgroup of order d

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