Let H={sigma in S_5 | sigma94)=4} Show that H<=S_5

Aneeka Hunt

Aneeka Hunt

Answered question

2021-01-31

Let H={σS5σ94)=4}
Show that HS5

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2021-02-01Added 106 answers

σ is bijective map from {1,2,3,4,5}{1,2,3,4,5}
but σ(4)=4
σ is bijective map from {1,2,3,4,5}{1,2,3,4,5}
If f,gH
fg1(4)=f(g1(4))=f(4)=4
fg1(4)=4
fg1H

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