File:Illustration of an Exact Sequence of Groups.svg
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Summary
| Description |
Bahasa Indonesia: Ilustrasi ini membantu memahami bagaimana urutan grup dibentuk. Di bagian atas, ada bagian dari urutan persis seperti yang biasanya ditulis. Di bagian bawah, ada representasi dalam diagram Euler dari grup, homomorfisme grup dan bagaimana kernel dan gambar mereka terkait. Yaitu, citra homomorfisme adalah inti dari homomorfisme berikutnya dalam urutan.
English: This illustration helps understand how an exact sequence of groups is formed. In the upper part, there is a part of an exact sequence how it is normally written. In the lower part, there is a representation in terms of Euler diagrams of the groups, the group homomorphisms and how their kernels and images are related. Namely, the image of an homomorphism is the kernel of the next homomorphism in the sequence .
Português: Essa ilustração serve ao entendimento de como uma sequência exata de grupos é formada. Na parte superior, há uma parte de uma sequência exata, assim como ela é normalmente escrita. Na parte inferior, há uma representação em termos de diagramas de Euler dos grupos, dos homomorfismos de grupo e como os seus núcleos e imagens estão relacionados. A saber, a imagem de um homomorfismo é o núcleo do próximo homomorfismo na sequência. |
| Date | |
| Source | Own work |
| Author | Leonardo Almeida Lessa |
Licensing
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:31, 29 November 2020 | | 1,329 × 744 (142 KB) | Megaleoo | Corrected the inclusions between each subgroup. Now it is faithful to the mathematical definition of an exact sequence. |
| 18:13, 20 September 2020 |  | 1,329 × 744 (142 KB) | Megaleoo | Uploaded own work with UploadWizard |
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Credit:
(see original file).
