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If a and b are group elements and ab ba, prove that aba e.
Chapter 3, Problem 12E(choose chapter or problem)
QUESTION:
If a and b are group elements and ab ? ba, prove that aba ? e.
Questions & Answers
QUESTION:
If a and b are group elements and ab ? ba, prove that aba ? e.
ANSWER:Step 1 of 3
It is given that for two elementsfrom a group , i.e. , such that ,
For provingwe will assume the contradiction that,
Now, if we Multiply the equation by :