Exercise 15.2.21. For each of the following multiplication tables, fill in the blanks to make a Cayley table for a group. O a b С d a b c d a a b с a с (a) b a (b) b b с с a с d d I I I I TU C I I

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Exercise 15.2.21. For each of the following multiplication tables, fill in
the blanks to make a Cayley table for a group.
O
a b С
d
a b c
d
a
a
b
с
a
с
(a) b
a
(b) b
b
с
с
a
с
d
d
I
I
I
I
TU
C
I
I
Transcribed Image Text:Exercise 15.2.21. For each of the following multiplication tables, fill in the blanks to make a Cayley table for a group. O a b С d a b c d a a b с a с (a) b a (b) b b с с a с d d I I I I TU C I I
O
a
(c) b
с
d
a b c d
d
d
I
d
I
d
O
a b c d
a
a
b
d
(d) b
a
С
с
d d
(There are two different ways to
complete this one: find both)
Transcribed Image Text:O a (c) b с d a b c d d d I d I d O a b c d a a b d (d) b a С с d d (There are two different ways to complete this one: find both)
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