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Let be a group of order #=75
(a) Prove that G has a subgroup H with all three of the following properties:(1) H has order #H=25(2) H is a nomal subgroup of G(3) H is abelian.
(b) Suppose that the subgroup H in (a) is cyclic of order 25. Prove that is abelian.

Sagot :

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