prove that if G is a finite group that the number of elements in G is even

So

e≠x belong to G (e is the neutral element)

that provide x^2 = e (in other words: x=x^-1).

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- Jun 9th 2009, 10:15 AMtukilalagroup theory question
prove that if G is a finite group that the number of elements in G is even

So

e≠x belong to G (e is the neutral element)

that provide x^2 = e (in other words: x=x^-1). - Jun 9th 2009, 10:47 AMflyingsquirrel
Hello,

Let and . We have and so . Can you show that is even and that there exists an element lying in ?