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
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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
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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