Write all elements of S4. Show that S4 has no elements of order > 5.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 3E
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Let
1 2 3 4 5 6 7 8
2 3 5 6 7 1 8 4
1 2 3 4 5 6 7 8
4 8 3 61 2 5 7
and
8 =
%3D
be permutations on the set Is.
Write all elements of S4. Show that S4 has no elements of order > 5.
Transcribed Image Text:Let 1 2 3 4 5 6 7 8 2 3 5 6 7 1 8 4 1 2 3 4 5 6 7 8 4 8 3 61 2 5 7 and 8 = %3D be permutations on the set Is. Write all elements of S4. Show that S4 has no elements of order > 5.
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