Suppose the Cayley table for B = {e, a, b, c}undethe binary operation * is given byeaе е аbа а е сbb bceaс сь аeWhat is the order of any nontrivial subgroup ofB?2314-

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Suppose the Cayley table for B = {e, a, b, c}unde the binary operation * is given by * е а b е е аb с а а е с ь b bce a с сьае What is the order of any nontrivial subgroup of B? 2 3 4 1

Suppose the Cayley table for B = {e, a, b, c}unde the binary operation * is given by * е а b е е аb с а а е с ь b bce a с сьае What is the order of any nontrivial subgroup of B? 2 3 4 1

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.3: Permutation Groups In Science And Art (optional)

Problem 18E

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Question

Suppose the Cayley table for B = {e, a, b, c}unde
the binary operation * is given by
e
a
е е аb
а а е сb
b bce
a
с сь а
e
What is the order of any nontrivial subgroup of
B?
2
3
1
4-

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