Please do part C and D and please show step by step and explain

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Author:Erwin Kreyszig
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Please do part C and D 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.
O a b c d
a
(a) b
с
d
20
(b) b
С
b
d
с
O
a
a a
b
I
I
C
I
d
O
a
(c) b
с
d
O
a
(d) b
С
a b c d
a
a
b
I
с
1
b C d
с
I
5
I
I
Transcribed Image Text:Exercise 15.2.22. * Show that it is impossible to complete the following Cayley tables to make a group. O a b c d a (a) b с d 20 (b) b С b d с O a a a b I I C I d O a (c) b с d O a (d) b С a b c d a a b I с 1 b C d с I 5 I I
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