For any group elements a and b, Prove that |ab|=|ba|,Joseph A. Gallian Ch-3 Ques-20,Abstract Algebra

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Abstract Algebra: practice problems 9-8-16, chapter 3 Gallian Abstract Algebra: practice problems 9-8-16, chapter 3 Gallian
Solution |Que.31-32; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups Solution |Que.31-32; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups
If a and b are distinct group elements, prove that either a^2 not equals b^2 or a^3 not equals b^3 If a and b are distinct group elements, prove that either a^2 not equals b^2 or a^3 not equals b^3
a is a group element and a has infinite order,prove that a^m is not equals a^n when m not equals n. a is a group element and a has infinite order,prove that a^m is not equals a^n when m not equals n.
Solution |Que.33-35; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups Solution |Que.33-35; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups
JOSEPH A. GALLIAN CHAPTER-2 QUESTION NO.-46-50 COMPLETE SOLUTION, CONTEMPORARY ALGEBRA BY GALLIAN JOSEPH A. GALLIAN CHAPTER-2 QUESTION NO.-46-50 COMPLETE SOLUTION, CONTEMPORARY ALGEBRA BY GALLIAN
Solution |Que.39-40; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups Solution |Que.39-40; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups
Solution |Que.45-46; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups Solution |Que.45-46; Chapter-3; Contemporary Abstract Algebra-8th Ed. | Joseph A. Gallian| Subgroups