File:Left cosets of Z 2 in Z 8.svg
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Summary
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English: Diagram demonstrating cosets. Here G is the set , the integers mod 8 under addition. The subgroup H contains only 0 and 4, and is isomorphic to . There are four cosets of H: H itself, 1+H, 2+H, 3+H (written using additive notation since this is an additive group). Together they partition the entire group G into equal-size, non-overlapping sets. Produced in Inkscape. |
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| Source | Own work |
| Author | User:Dcoetzee |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:37, 28 March 2013 | | 238 × 273 (10 KB) | Dcoetzee | {{Information |Description ={{en|1=Diagram demonstrating cosets. Here G is the set <math>\mathbb{Z}_8</math>, the integers mod 8 under addition. The subgroup H contains only 0 and 4, and is isomorphic to <math>\mathbb{Z}_2</math>. There are four cos... |
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