https://groupprops.subwiki.org/w/index.php?action=history&feed=atom&title=Pronormality_is_normalizer-closedPronormality is normalizer-closed - Revision history2026-08-14T20:18:03ZRevision history for this page on the wikiMediaWiki 1.41.2https://groupprops.subwiki.org/w/index.php?title=Pronormality_is_normalizer-closed&diff=13697&oldid=prevVipul: New page: {{subgroup metaproperty satisfaction| property = pronormal subgroup| metaproperty = normalizer-closed subgroup property}} ==Statement== If <math>H</math> is a pronormal subgroup of a...2008-10-07T21:11:14Z<p>New page: {{subgroup metaproperty satisfaction| property = pronormal subgroup| metaproperty = normalizer-closed subgroup property}} ==Statement== If <math>H</math> is a <a href="/wiki/Pronormal_subgroup" title="Pronormal subgroup">pronormal subgroup</a> of a...</p>
<p><b>New page</b></p><div>{{subgroup metaproperty satisfaction|<br />
property = pronormal subgroup|<br />
metaproperty = normalizer-closed subgroup property}}<br />
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==Statement==<br />
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If <math>H</math> is a [[pronormal subgroup]] of a group <math>G</math>, so is the [[normalizer]] <math>N_G(H)</math>.<br />
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==Facts used==<br />
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# [[uses::Normalizer of pronormal implies abnormal]]<br />
# [[uses::Abnormal implies pronormal]]<br />
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==Proof==<br />
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The proof follows by piecing together facts (1) and (2).</div>Vipul