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The set of permutations tovo esob H = {e, (2 3 5 6), (2 6 5 3), (2 5) (3 6)} is a subgroup of the symmetric group S6- (a) State the order of each element of H. (b) ils nov, text slim to sluz (i) S6, (2 5)(3 6), (2 65 3) (ii) S6, (2 3 5 6), (2 653) (2653) (iii) H, (2 3 5 6), "S+ For each of the following instances of a group and two permutations in the group, either find a permutation in the group that conjugates the first permutation to the second, or explains 8 how you know that there is no such permutation. otamsono

The set of permutations tovo esob H = {e, (2 3 5 6), (2 6 5 3), (2 5) (3 6)} is a subgroup of the symmetric group S6- (a) State the order of each element of H. (b) ils nov, text slim to sluz (i) S6, (2 5)(3 6), (2 65 3) (ii) S6, (2 3 5 6), (2 653) (2653) (iii) H, (2 3 5 6), "S+ For each of the following instances of a group and two permutations in the group, either find a permutation in the group that conjugates the first permutation to the second, or explains 8 how you know that there is no such permutation. otamsono

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 1E
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The set of permutations mo sob so H = {e, (2 3 5 6), (2 6 5 3), (2 5)(36)} is a subgroup of the symmetric group S6- (a) State the order of each element of H. (b) me il aur noy, text olin to slua For each of the following instances of a group and two permutations in the group, either find a permutation in the group that conjugates the first permutation to the second, or explain how you know that there is no such permutation. (i) S6, (2 5) (36), (2 653) (ii) S6, (2 3 5 6), (2653) (iii) H, (2 3 5 6), (2 653) "S+ 8 entre oil: amson thaled quiwolle
Transcribed Image Text:The set of permutations mo sob so H = {e, (2 3 5 6), (2 6 5 3), (2 5)(36)} is a subgroup of the symmetric group S6- (a) State the order of each element of H. (b) me il aur noy, text olin to slua For each of the following instances of a group and two permutations in the group, either find a permutation in the group that conjugates the first permutation to the second, or explain how you know that there is no such permutation. (i) S6, (2 5) (36), (2 653) (ii) S6, (2 3 5 6), (2653) (iii) H, (2 3 5 6), (2 653) "S+ 8 entre oil: amson thaled quiwolle
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