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For any group G, prove that for all a, b ∈ G it holds that |ab| = |ba|. Explain why this proves that |abab| = |baba|. Mo

Posted: Wed May 11, 2022 1:43 pm
by answerhappygod
For any group G, prove that for all a, b ∈ G it holds that |ab|
= |ba|. Explain why this proves that |abab| = |baba|. Moreover, is
it true that |aba| = |bab|?