Consider the following elements of S9, the symmetric group on the se {1, 2, 3, 4, 5, 6, 7, 8, 9): a = (257381), ß = (24)(14567)(84)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 19E: Find the order of each of the following elements in the multiplicative group of units . for for ...
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Consider the following elements of S9, the symmetric group on the set
{1, 2, 3, 4, 5, 6, 7, 8,9}: a = (257381), ß = (24)(14567)(84)
Transcribed Image Text:Consider the following elements of S9, the symmetric group on the set {1, 2, 3, 4, 5, 6, 7, 8,9}: a = (257381), ß = (24)(14567)(84)
5. What is the order of ß
6. What is the order of 3³?
Transcribed Image Text:5. What is the order of ß 6. What is the order of 3³?
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