MAMD1_U3_contenido - Wendy Flores

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1 Contenido 
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Monomorfismo, epimorfismo, isomorfismo ....................................................................................................... 6 
Núcleo e imagen de un homomorfismo .............................................................................................................. 7 
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Primer Teorema de Isomorfismos ....................................................................................................................... 8 
Segundo Teorema de Isomorfismos .................................................................................................................... 8 
Tercer Teorema de Isomorfismos ........................................................................................................................ 8 
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Figura 13. Valor pi ....................................................................................................................................................... 14 
 
file:///D:/claudia.alvarez/MT/Bloque%202/Semestre%207/07_Algebra%20moderna%20I/DCEIT_MAMD1_disenoinstruccional_29012020/Unidad%203/U3_Material%20de%20estudio/Unidad%203.%20teoremas%20principales.docx%23_Toc32231770
file:///D:/claudia.alvarez/MT/Bloque%202/Semestre%207/07_Algebra%20moderna%20I/DCEIT_MAMD1_disenoinstruccional_29012020/Unidad%203/U3_Material%20de%20estudio/Unidad%203.%20teoremas%20principales.docx%23_Toc32231771
file:///D:/claudia.alvarez/MT/Bloque%202/Semestre%207/07_Algebra%20moderna%20I/DCEIT_MAMD1_disenoinstruccional_29012020/Unidad%203/U3_Material%20de%20estudio/Unidad%203.%20teoremas%20principales.docx%23_Toc32231773
 
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 
∩
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 
 
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 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
𝐻 ∨ 𝐾
𝐻 ∨ 𝐾
 


 
 
 
 

𝑁 ∩ 𝐾)
 
 
 
https://www.youtube.com/watch?v=RJWxFxscKuc
https://www.youtube.com/watch?v=K3Lh61j1OkA
https://www.youtube.com/watch?v=-mcVcWMVb0c
 
 
 
 
 
 
 
𝑒
ℎ2 ℎ1 𝜌ℎ2 𝜌ℎ1
𝜌ℎ1
 
 
 
𝜌ℎ2
 
 
 
 
𝑟240°
 
𝑟240° = 𝜌ℎ2°𝜌ℎ1
𝑟240° = (
1 2 3
2 1 3
) (
1 2 3
1 3 2
) = (
1 2 3
2 3 1
)
𝜌ℎ1(1) =
1 , 𝜌ℎ2(1) = 2 (𝜌ℎ2°𝜌ℎ1)(1) = 2
𝐺 = {𝑒, 𝜌ℎ1 , 𝜌ℎ2 , 𝜌ℎ3 , 𝑟120°, 𝑟240°}
 
 
 
Grupo de simetrías del cuadrado I 
 
Grupo de simetrías del cuadrado II 
 
Figura 13. Valor pi
https://eodelgadorcursos.files.wordpress.com/2017/06/1-grupos.pdf
https://eodelgadorcursos.files.wordpress.com/2017/06/1-grupos.pdf
https://www.youtube.com/watch?v=tM7lCNp_-1Y
https://www.youtube.com/watch?v=onT343PebWc
 
 
C
 
http://www.cimat.mx/~fsanchezcv/docs/AModerna.pdf
https://matematicas.uniandes.edu.co/~csanabria/MATE2101/abstracta.pdf
https://matematicas.uniandes.edu.co/~csanabria/MATE2101/abstracta.pdf
http://fmwww.bc.edu/gross/MT216/aata.pdf
http://www.math.niu.edu/~beachy/aaol/structure.html
http://www.math.niu.edu/~beachy/abstract_algebra/
http://staffhome.ecm.uwa.edu.au/~00013270/b_a_a.pdf