Let a, b, c, x be elements of a group G, which satisfy a¹ bxcb1 = c which one of the following is a correct expression for x. O x = a1bc2b-1 -1 x = (ab) -¹ cbc-1 x = ba¯¹ c(cb)-1 c-1bcab-1 x = C ○ x = b¹acbc-1
Let a, b, c, x be elements of a group G, which satisfy a¹ bxcb1 = c which one of the following is a correct expression for x. O x = a1bc2b-1 -1 x = (ab) -¹ cbc-1 x = ba¯¹ c(cb)-1 c-1bcab-1 x = C ○ x = b¹acbc-1
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 21E: Let a,b,c, and d be elements of a group G. Find an expression for (abcd)1 in terms of a1,b1,c1, and...
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Transcribed Image Text:Let a, b, c, x be elements of a group G, which
satisfy
a¹ bxcb1 = c
which one of the following is a correct
expression for x.
O
x = a1bc2b-1
-1
x = (ab) -¹ cbc-1
x
= ba¯¹ c(cb)-1
c-1bcab-1
x = C
○ x = b¹acbc-1
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