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Let G be any group. Prove or disprove the following: (n) If (ab)* = a*b* Va,beG,n-2,3, -, then G is abelian. (b) If a-a and b then (ab)-ab. (e) If abe-e then bca -e. (d) If abe=e then bac = e.

Let G be any group. Prove or disprove the following: (n) If (ab)* = a*b* Va,beG,n-2,3, -, then G is abelian. (b) If a-a and b then (ab)-ab. (e) If abe-e then bca -e. (d) If abe=e then bac = e.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.1: Finite Permutation Groups
Problem 3TFE: True or False Label each of the following statements as either true or false. 3. The product of...
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