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Exercise 3. Part A: Let G = Sn and let H = {a E Gla(1) = 1}. Show that H is a subgroup of G. %3D

Exercise 3. Part A: Let G = Sn and let H = {a E Gla(1) = 1}. Show that H is a subgroup of G. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Ex 3 part A
Math36 chapter 5 screen recorC oogle.com/u/0/c/Mjc5NDMzMDc4NDU2/a/MzI0MDYwMTU2Mjcy/details (Permutations) (2).pdf Open with Google Docs Exercise 1 Let * 1 2 3 4 5 6 2 1 3 ) and = (1 2 456 4 3 5 2 3 a = 4 Compute each of the following. 1) a-1 2) Ba 3) aß Exercise 2. What cycle is (a,a, .- an)? Exercise 3. Part A: Let G = Sn and let H = {a E Gla(1) = 1}. Show that H is a subgroup of G. Part B: Let S, be the symmetric group and let a be an element of S, defined by: 4 567 89 ). 123 543 2986 76
Transcribed Image Text:Math36 chapter 5 screen recorC oogle.com/u/0/c/Mjc5NDMzMDc4NDU2/a/MzI0MDYwMTU2Mjcy/details (Permutations) (2).pdf Open with Google Docs Exercise 1 Let * 1 2 3 4 5 6 2 1 3 ) and = (1 2 456 4 3 5 2 3 a = 4 Compute each of the following. 1) a-1 2) Ba 3) aß Exercise 2. What cycle is (a,a, .- an)? Exercise 3. Part A: Let G = Sn and let H = {a E Gla(1) = 1}. Show that H is a subgroup of G. Part B: Let S, be the symmetric group and let a be an element of S, defined by: 4 567 89 ). 123 543 2986 76
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