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	<!ENTITY swivt 'http://semantic-mediawiki.org/swivt/1.0#'>
	<!ENTITY wiki 'http://groupprops.subwiki.org/wiki/Special:URIResolver/'>
	<!ENTITY category 'http://groupprops.subwiki.org/wiki/Special:URIResolver/Category-3A'>
	<!ENTITY property 'http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3A'>
	<!ENTITY wikiurl 'https://groupprops.subwiki.org/wiki/'>
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	xmlns:rdf="&rdf;"
	xmlns:rdfs="&rdfs;"
	xmlns:owl ="&owl;"
	xmlns:swivt="&swivt;"
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	<owl:Ontology rdf:about="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Join-2Dtransitively_subnormal_subgroup">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-06-30T06:20:48+00:00</swivt:creationDate>
		<owl:imports rdf:resource="http://semantic-mediawiki.org/swivt/1.0"/>
	</owl:Ontology>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Join-2Dtransitively_subnormal_subgroup">
		<rdfs:label>Join-transitively subnormal subgroup</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
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		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Join-transitively subnormal subgroup</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Perfect_subnormal_implies_join-2Dtransitively_subnormal">
		<rdfs:label>Perfect subnormal implies join-transitively subnormal</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Perfect_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Perfect_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Proves_property_satisfaction_of rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Perfect subnormal implies join-transitively subnormal</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_implies_join-2Dtransitively_subnormal">
		<rdfs:label>Normal implies join-transitively subnormal</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Normal_implies_join-2Dtransitively_subnormal"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Normal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Proves_property_satisfaction_of rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Normal implies join-transitively subnormal</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_and_subnormal_implies_join-2Dtransitively_subnormal">
		<rdfs:label>Permutable and subnormal implies join-transitively subnormal</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Permutable_and_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Permutable_and_subnormal_implies_join-2Dtransitively_subnormal"/>
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		<property:Proves_property_satisfaction_of rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable and subnormal implies join-transitively subnormal</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Conjugate-2Djoin-2Dclosed_subnormal_implies_join-2Dtransitively_subnormal">
		<rdfs:label>Conjugate-join-closed subnormal implies join-transitively subnormal</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Conjugate-2Djoin-2Dclosed_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Conjugate-2Djoin-2Dclosed_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Proves_property_satisfaction_of rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Conjugate-join-closed subnormal implies join-transitively subnormal</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/2-2Dsubnormal_implies_join-2Dtransitively_subnormal">
		<rdfs:label>2-subnormal implies join-transitively subnormal</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/2-2Dsubnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/2-2Dsubnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Proves_property_satisfaction_of rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">2-subnormal implies join-transitively subnormal</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup">
		<rdfs:label>Subnormal subgroup</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Subnormal_subgroup"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Subnormal_subgroup"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Applying_operator_gives rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Subnormal subgroup</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Subnormal_subgroup">
		<rdfs:label>Subnormal subgroup</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Subnormal_subgroup"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Subnormal_subgroup"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Weaker_than rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Subnormal subgroup</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Perfect_subnormal_implies_join-2Dtransitively_subnormal-23_9ed8cd08fea0c1f8c61ca6859691cd54">
		<swivt:masterPage rdf:resource="&wiki;Perfect_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Perfect subnormal implies join-transitively subnormal#Join-transitively subnormal subgroup;2# 9ed8cd08fea0c1f8c61ca6859691cd54</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_implies_join-2Dtransitively_subnormal-23_9ed8cd08fea0c1f8c61ca6859691cd54">
		<swivt:masterPage rdf:resource="&wiki;Normal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Normal implies join-transitively subnormal#Join-transitively subnormal subgroup;2# 9ed8cd08fea0c1f8c61ca6859691cd54</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_and_subnormal_implies_join-2Dtransitively_subnormal-23_9ed8cd08fea0c1f8c61ca6859691cd54">
		<swivt:masterPage rdf:resource="&wiki;Permutable_and_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable and subnormal implies join-transitively subnormal#Join-transitively subnormal subgroup;2# 9ed8cd08fea0c1f8c61ca6859691cd54</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Conjugate-2Djoin-2Dclosed_subnormal_implies_join-2Dtransitively_subnormal-23_9ed8cd08fea0c1f8c61ca6859691cd54">
		<swivt:masterPage rdf:resource="&wiki;Conjugate-2Djoin-2Dclosed_subnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Conjugate-join-closed subnormal implies join-transitively subnormal#Join-transitively subnormal subgroup;2# 9ed8cd08fea0c1f8c61ca6859691cd54</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/2-2Dsubnormal_implies_join-2Dtransitively_subnormal-23_9ed8cd08fea0c1f8c61ca6859691cd54">
		<swivt:masterPage rdf:resource="&wiki;2-2Dsubnormal_implies_join-2Dtransitively_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">2-subnormal implies join-transitively subnormal#Join-transitively subnormal subgroup;2# 9ed8cd08fea0c1f8c61ca6859691cd54</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Join-2Dtransitively_subnormal_subgroup"/>
	</swivt:Subject>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3AProves_property_satisfaction_of">
		<rdfs:label>Proves property satisfaction of</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3AProves_property_satisfaction_of"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3AProves_property_satisfaction_of"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Proves property satisfaction of</swivt:wikiPageSortKey>
	</owl:ObjectProperty>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3AApplying_operator_gives">
		<rdfs:label>Applying operator gives</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3AApplying_operator_gives"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3AApplying_operator_gives"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Applying operator gives</swivt:wikiPageSortKey>
	</owl:ObjectProperty>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3AWeaker_than">
		<rdfs:label>Weaker than</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3AWeaker_than"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3AWeaker_than"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Weaker than</swivt:wikiPageSortKey>
	</owl:ObjectProperty>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3APage">
		<rdfs:label>Page</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3APage"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3APage"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Page</swivt:wikiPageSortKey>
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	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#creationDate" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#page" />
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	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageContentLanguage" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageSortKey" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#masterPage" />
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