https://wiki.sarg.dev/index.php?action=history&feed=atom&title=Normal_closure 2026-06-13T21:08:02Z Revision history for this page on the wiki MediaWiki 1.44.2 https://wiki.sarg.dev/index.php?title=Normal_closure&diff=505699&oldid=prev 2021-05-15T18:52:19Z

<p>1 link per line, and the first link is a redirect to (a section of) the second</p> <p><b>New page</b></p><div>The term &#039;&#039;&#039;&#039;&#039;normal closure&#039;&#039;&#039;&#039;&#039; is used in two senses in mathematics:<br /> <br /> * In group theory, the &#039;&#039;&#039;[[normal closure (group theory)|normal closure]]&#039;&#039;&#039; of a subset of a group is the smallest normal subgroup that contains the subset.<br /> * In field theory, the &#039;&#039;&#039;[[Normal closure (field theory)|normal closure]]&#039;&#039;&#039; of an algebraic extension &#039;&#039;F&#039;&#039;/&#039;&#039;K&#039;&#039; is an extension field &#039;&#039;L&#039;&#039; of &#039;&#039;F&#039;&#039; such that &#039;&#039;L&#039;&#039;/&#039;&#039;K&#039;&#039; is normal and &#039;&#039;L&#039;&#039; is minimal with this property.<br /> <br /> {{disambiguation}}</div>

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