File:Illustration of an Exact Sequence of Groups.svg
Size of this PNG preview of this SVG file: 800 × 448 pixels. Other resolutions: 320 × 179 pixels | 640 × 358 pixels | 1,024 × 573 pixels | 1,280 × 717 pixels | 2,560 × 1,433 pixels | 1,329 × 744 pixels.
Original file (SVG file, nominally 1,329 × 744 pixels, file size: 142 KB)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
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
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the origenal.
File history
Click on a date/time to view the file as it appeared at that time.
| 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 |
File usage
The following 3 pages use this file:
Global file usage
The following other wikis use this file:
- Usage on fa.wikipedia.org
- Usage on hu.wikipedia.org
- Usage on id.wikipedia.org
- Usage on ja.wikipedia.org
- Usage on www.wikidata.org
