8. Prove that if G is a group of order 60, then either G has 4 elements of order 5, or G has 24 elements of order 5.
8. Prove that if G is a group of order 60, then either G has 4 elements of order 5, or G has 24 elements of order 5.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 3E: 3. Consider the group under addition. List all the elements of the subgroup, and state its order.
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Transcribed Image Text:8. Prove that if G is a group of order 60, then either G has 4 elements
of order 5, or G has 24 elements of order 5.
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