(c) Let G be the group with Cayley table given below. Show that G is not a group. d * e a b C e e a b C d a b 00 a e с d b b C e b a с C d b e C dd b a C e
(c) Let G be the group with Cayley table given below. Show that G is not a group. d * e a b C e e a b C d a b 00 a e с d b b C e b a с C d b e C dd b a C e
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.1: Definition Of A Group
Problem 44E: Let A={ a,b,c }. Prove or disprove that P(A) is a group with respect to the operation of union....
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Transcribed Image Text:(c) Let G be the group with Cayley table given below. Show that G is not a group.
d
*
e
a
b
C
e
e
a
b C
d
a
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a
e
с
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с
C
d b
e
C
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a
C
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