Is G abelian? Why or why not? What is G|? Which element of G is the identity?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer the following three questions:
Transcribed Image Text:Is G abelian? Why or why not?
What is G|?
Which element of G is the identity?
Transcribed Image Text:Consider the group G = {a, b, c, x, y, z} with the binary operation depicted in the Cayley
table below. (For instance, the table shows that aa = z and ab = x).
G
a
с
X
y
N
abc
Zx b с
beyazbx
X zy
baz
b
с
a
b|cx y
A
y
JXKEN
y
a с
с
X b
a y
OXAN
N
N 4 x
y
b
с
N
a
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