Exercise 15.2.22. * Show that it is impossible to complete the following Cayley tables to make a group. O a b c d O a b c d a a a (a) b b (c) b С С d с d С d O a e d O a a a (b) b (d) b С С P II I 6 I I I ex P I I a b I I С I I I I e d I
Exercise 15.2.22. * Show that it is impossible to complete the following Cayley tables to make a group. O a b c d O a b c d a a a (a) b b (c) b С С d с d С d O a e d O a a a (b) b (d) b С С P II I 6 I I I ex P I I a b I I С I I I I e d I
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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Question
Please do Part ABC and please show step by step and explain
![Exercise 15.2.22. * Show that it is impossible to complete the following
Cayley tables to make a group.
a b c d
oa b c d
a
a a
(a) b
b
с
с
d
d
C
a
d
a b с
a
b
O
a
(b) b
С
d
b
b
I
с
(c) b
С
20
d
O
a
(d) b
С
d
OL
с
I
I
d
I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F892e817a-9b32-4eeb-b8fc-5dd7ffde6479%2Fee3cb12b-e46b-4d1a-bd12-e4b24332c5de%2Fuehbg3i_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 15.2.22. * Show that it is impossible to complete the following
Cayley tables to make a group.
a b c d
oa b c d
a
a a
(a) b
b
с
с
d
d
C
a
d
a b с
a
b
O
a
(b) b
С
d
b
b
I
с
(c) b
С
20
d
O
a
(d) b
С
d
OL
с
I
I
d
I
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