Difference between revisions of "Overview of the group isomorphism theorems"

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[ilmath]\xymatrix{G \ar[r]^\varphi \ar[d]_\pi & H \\ G/N \ar@{.>}[ur]_{\bar{\varphi} } & }[/ilmath]

First isomorphism theorem
[ilmath]\xymatrix{G \ar[r]^\varphi \ar[d]^\pi & H \\ G/\text{Ker}(\varphi) \ar@{.>}[r]_-\theta & \text{Im}(\varphi) \ar@{_{(}->}[u]^i }[/ilmath] For [ilmath]\theta[/ilmath] an isomorphism

[ilmath]\xymatrix{G \ar[r]^\varphi \ar[d]_\pi & H \\ G/N & }[/ilmath]

[ilmath]\xymatrix{G \ar[r]^\varphi \ar[d]_\pi & H \\ G/N & }[/ilmath]

Revision as of 04:00, 20 July 2016 (view source) Alec (Talk \| contribs) (Saving work)	Latest revision as of 00:21, 22 July 2016 (view source) Alec (Talk \| contribs) m (Alec moved page Group isomorphism theorems to Overview of the group isomorphism theorems: It's an overview.)
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