Concept explainers
Let
To check whether
Answer to Problem 1E
Explanation of Solution
Given:
The subgroup is
Calculation:
Consider the following result related to normal subgroups:
A subgroup
Another condition for subgroup to be normal is
That is
Use the result (1) to check whether
Take
On the other hand compute
Since
So
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Chapter 9 Solutions
Contemporary Abstract Algebra
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