(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?
(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?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
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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