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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{{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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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.
This SVG image was
uploaded in a graphics format such as
GIF,
PNG,
JPEG, or
SVG. However, it consists purely or largely of information which is better suited to representation in
wikitext (possibly using MediaWiki's special syntax for
tables,
math, or
music). This will make the information easier to edit, as well as make it
accessible to users of screen readers and text-based browsers.
If possible, please replace any inclusions of this image in articles (noted under the “
File links” header) with properly formatted wikitext. After doing so, please consider
nominating this image for deletion.
The person who associated a work with this deed has dedicated the work to the
public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse
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{{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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