Solution Found!
Prove: If G is a group, a E G, and a * b = b for some bEG, then a is the identity
Chapter 5, Problem 5.22(choose chapter or problem)
QUESTION:
Prove: If G is a group, a E G, and a * b = b for some bEG, then a is the identity elementofG.
Questions & Answers
QUESTION:
Prove: If G is a group, a E G, and a * b = b for some bEG, then a is the identity elementofG.
ANSWER:Step 1 of 2
And G is a group
And for some
Some G is a group so the inverse of every element of every element exists.
So let be the inverse of b
Since G is a group, an identity element exists.
Let,be the identity element