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  • MATH - GROUP

    1. Let G be a group such that there exists an x belongs to G such that for all

    g belongs to G, ord(g) less than·ord(x).

    1) Suppose that G is abelian, show that for all g belongs G, ord(g) divides ord(x).

    2) If G is a not abelian, show that the conclusion in 1) is no longer true.

    2 Answers數學1 decade ago