Answered: a.) What is the order of any non…

a.) What is the order of any non trivial subgroup of B? b.) What are the trivial subgroups of B? c.) How many nontrivial subgroups does B have? d.) What is the generator of group B?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 4E

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Question

a.) What is the order of any non trivial subgroup of B?

b.) What are the trivial subgroups of B?

c.) How many nontrivial subgroups does B have?

d.) What is the generator of group B?

Suppose the Cayley table for B = {e, a, b, c}unde
the binary operation * is given by
e
а b
C
e
e
a
a
e
b.
C
e
a
C
с ь
a

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