3) Let G be the group generated by elements a and b satisfying the relations a² = 63, 66 = 1, and a ¹ba = b¹. Which of the following is equivalent to the element z = a a-2ba3b3? A) b-2a-1 B) ab² C) ab D) ba E) b²a

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 25E
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3) Let G be the group generated by elements a and b satisfying the relations a² = 63,
66 = 1, and a ¹ba = b¹. Which of the following is equivalent to the element
z = a a-2ba3b3?
A) b-2a-1
B) ab²
C) ab
D) ba
E) b²a
Transcribed Image Text:3) Let G be the group generated by elements a and b satisfying the relations a² = 63, 66 = 1, and a ¹ba = b¹. Which of the following is equivalent to the element z = a a-2ba3b3? A) b-2a-1 B) ab² C) ab D) ba E) b²a
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