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Let G be a group of odd order. Prove that the mapping x x2
Chapter 11, Problem 16SE(choose chapter or problem)
QUESTION:
Let G be a group of odd order. Prove that the mapping \(x \rightarrow x^2\) from G to itself is one-to-one.
Questions & Answers
QUESTION:
Let G be a group of odd order. Prove that the mapping \(x \rightarrow x^2\) from G to itself is one-to-one.
ANSWER:Step 1 of 3
Suppose that . This means that for all we have .
Let be such that .