http://dbpedia.org/ontology/abstract
|
In mathematics, in the field of group theo … In mathematics, in the field of group theory, a group is said to be strictly simple if it has no proper nontrivial ascendant subgroups. That is, is a strictly simple group if the only ascendant subgroups of are (the trivial subgroup), and itself (the whole group). In the finite case, a group is strictly simple if and only if it is simple. However, in the infinite case, strictly simple is a stronger property than simple.simple is a stronger property than simple.
|
http://dbpedia.org/ontology/wikiPageExternalLink
|
http://www.encyclopediaofmath.org/index.php/Simple_group +
|
http://dbpedia.org/ontology/wikiPageID
|
4966772
|
http://dbpedia.org/ontology/wikiPageLength
|
820
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
633982439
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Ascendant_subgroup +
, http://dbpedia.org/resource/Serial_subgroup +
, http://dbpedia.org/resource/Group_%28mathematics%29 +
, http://dbpedia.org/resource/Group_theory +
, http://dbpedia.org/resource/Category:Properties_of_groups +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Absolutely_simple_group +
, http://dbpedia.org/resource/Simple_group +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Abstract-algebra-stub +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Properties_of_groups +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Strictly_simple_group?oldid=633982439&ns=0 +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Strictly_simple_group +
|
owl:sameAs |
http://dbpedia.org/resource/Strictly_simple_group +
, http://rdf.freebase.com/ns/m.0cxkj1 +
, http://www.wikidata.org/entity/Q7623692 +
, http://yago-knowledge.org/resource/Strictly_simple_group +
, https://global.dbpedia.org/id/4vzQz +
|
rdf:type |
http://dbpedia.org/class/yago/WikicatPropertiesOfGroups +
, http://dbpedia.org/class/yago/Abstraction100002137 +
, http://dbpedia.org/class/yago/Property113244109 +
, http://dbpedia.org/class/yago/Relation100031921 +
, http://dbpedia.org/class/yago/Possession100032613 +
|
rdfs:comment |
In mathematics, in the field of group theo … In mathematics, in the field of group theory, a group is said to be strictly simple if it has no proper nontrivial ascendant subgroups. That is, is a strictly simple group if the only ascendant subgroups of are (the trivial subgroup), and itself (the whole group). In the finite case, a group is strictly simple if and only if it is simple. However, in the infinite case, strictly simple is a stronger property than simple.simple is a stronger property than simple.
|
rdfs:label |
Strictly simple group
|