1 Let f = 6. 6. 3 4 5 3 4 7 7 and g 4 1 1 5 7 2 6. 3 1 7 6 4 5 Write the following as a product of disjoint cycles. Write your answer as a list. E.g. the pern f g? = fog =| g-l o f-1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.1: Finite Permutation Groups
Problem 31E: Exercises Let f and g be disjoint cycles in Sn. Prove that fg=gf.
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Question
1
Let f =
6.
4 5
6.
2
3
4
7
and g =
4
1
3
7
1
5
7
2
3
1
7
6 4
5
2
Write the following as a product of disjoint cycles. Write your answer as a list. E.g. the pern
f
g² =[
sog =l
=
g-l o f-1
||
Transcribed Image Text:1 Let f = 6. 4 5 6. 2 3 4 7 and g = 4 1 3 7 1 5 7 2 3 1 7 6 4 5 2 Write the following as a product of disjoint cycles. Write your answer as a list. E.g. the pern f g² =[ sog =l = g-l o f-1 ||
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