(4) Suppose G is a group of order 100 (this means G has 100 elements). Prove that G must have an element a!=e satisfying a^(2)=e. (We say " a has order 2.") [Hint: Try proving this by contradiction] Can you generalize the statement for a group of order 2n ?

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(4) Suppose G is a group of order 100 (this means G has 100 elements). Prove that G must have an element a!=e satisfying a^(2)=e. (We say &#34; a has order 2.&#34;) [Hint: Try proving this by contradiction] Can you generalize the statement for a group of order 2n ?

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Expert Answer to - (4) Suppose G is a group of order 100 (this means G has 100 elements). Prove that G must have an ele

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Solution for - (4) Suppose G is a group of order 100 (this means G has 100 elements). Prove that G must have an ele

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This an additional answer to - (4) Suppose G is a group of order 100 (this means G has 100 elements). Prove that G must have an ele

(Solved): (4) Suppose G is a group of order 100 (this means G has 100 elements). Prove that G must have an ele ...

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