Abstract Algebra (4) Chapter 7, exercise 2.14: The class equation of a group G is 1+4+5+5+5.(a) Does G have a subgroup of order 5? If so, is it a normal subgroup?(b) Does G have a subgroup of order 4? If so, is it a normal subgroup?

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Answered: (4) Chapter 7, exercise 2.14: The class…

Elements Of Modern Algebra

8th Edition

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Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 9E: 9. Consider the octic group of Example 3. Find a subgroup of that has order and is a normal...

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(4) Chapter 7, exercise 2.14: The class equation of a group G is 1+4+5+5+5. (a) Does G have a subgroup of order 5? If so, is it a normal subgroup? (b) Does G have a subgroup of order 4? If so, is it a normal subgroup?