https://groupprops.subwiki.org/w/index.php?action=history&feed=atom&title=Absolutely_normal_subgroupAbsolutely normal subgroup - Revision history2026-07-22T14:17:39ZRevision history for this page on the wikiMediaWiki 1.41.2https://groupprops.subwiki.org/w/index.php?title=Absolutely_normal_subgroup&diff=16187&oldid=prevVipul: New page: {{wikilocal}} {{subofsubgroup property}} ==Definition== Suppose <math>H \le K \le G</math> are groups. We say that <math>H</math> is '''absolutely normal''' in <math>K</math> with re...2009-02-11T18:21:14Z<p>New page: {{wikilocal}} {{subofsubgroup property}} ==Definition== Suppose <math>H \le K \le G</math> are <a href="/wiki/Group" title="Group">groups</a>. We say that <math>H</math> is '''absolutely normal''' in <math>K</math> with re...</p>
<p><b>New page</b></p><div>{{wikilocal}}<br />
{{subofsubgroup property}}<br />
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==Definition==<br />
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Suppose <math>H \le K \le G</math> are [[group]]s. We say that <math>H</math> is '''absolutely normal''' in <math>K</math> with respect to <math>G</math> if <math>H</math> is a [[normal subgroup]] of <math>G</math>.<br />
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==Relation with other properties==<br />
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===Weaker properties===<br />
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* [[Stronger than::Strongly closed subgroup]]<br />
* [[Stronger than::Weakly closed subgroup]]<br />
* [[Stronger than::Conjugation-invariantly relatively normal subgroup]]<br />
* [[Stronger than::Relatively normal subgroup]]</div>Vipul