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If a1, a2, . . . , an belong to a group, what is the
Chapter 2, Problem 28E(choose chapter or problem)
QUESTION:
If a1, a2, . . . , an belong to a group, what is the inverse of a1a2 . . . an?
Questions & Answers
QUESTION:
If a1, a2, . . . , an belong to a group, what is the inverse of a1a2 . . . an?
ANSWER:Step 1 of 3
To find the inverse of :
Consider is a group.
Let
By the properties of a group, we have:
In view of this property, using method of induction to prove: