| dbo:abstract |
In mathematical finite group theory, a rank 3 permutation group acts transitively on a set such that the stabilizer of a point has 3 orbits. The study of these groups was started by Higman . Several of the sporadic simple groups were discovered as rank 3 permutation groups. (en) Группа перестановок ранга 3 действует транзитивно на множестве так, что стабилизатор точки имеет 3 орбиты. Изучение этих групп начал Дональд Хигман. Некоторые спорадические простые группы были открыты как группы перестановок ранга 3. (ru) |
| dbo:wikiPageExternalLink |
http://mathunion.org/ICM/ICM1970.1/ http://darkwing.uoregon.edu/~kantor/PAPERS/KantorLiebler.pdf https://deepblue.lib.umich.edu/bitstream/2027.42/46298/1/209_2005_Article_BF01111335.pdf |
| dbo:wikiPageID |
29763000 (xsd:integer) |
| dbo:wikiPageLength |
10586 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1109366245 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Mathematische_Zeitschrift dbr:Conway_group_Co2 dbr:Hoffman-Singleton_graph dbr:McLaughlin_graph dbr:Janko_group_J2 dbr:3-transposition_group dbc:Finite_groups dbr:Finite_group_theory dbr:Group_action_(mathematics) dbr:Fischer_groups dbr:Hall-Janko_graph dbr:Higman–Sims_group dbr:Tits_group dbr:Stabilizer_(group_theory) dbr:Socle_(mathematics) dbr:Orbit_(group_theory) dbr:Mathieu_group dbr:McLaughlin_group_(mathematics) dbr:Fischer_group dbr:Fischer_group_Fi22 dbr:Fischer_group_Fi23 dbr:Fischer_group_Fi24 dbr:Rudvalis_group dbr:Higman-Sims_graph dbr:Transactions_of_the_American_Mathematical_Society dbr:Springer-Verlag dbr:Sporadic_Suzuki_group dbr:Sporadic_simple_group dbr:Suzuki_chain |
| dbp:authorlink |
Donald Higman (en) |
| dbp:last |
Higman (en) |
| dbp:wikiPageUsesTemplate |
dbt:Citation dbt:Harv dbt:Harvtxt dbt:Radic dbt:Reflist dbt:Harvs |
| dbp:year |
1964 (xsd:integer) 1971 (xsd:integer) |
| dct:subject |
dbc:Finite_groups |
| rdf:type |
yago:Abstraction100002137 yago:Group100031264 yago:WikicatFiniteGroups |
| rdfs:comment |
In mathematical finite group theory, a rank 3 permutation group acts transitively on a set such that the stabilizer of a point has 3 orbits. The study of these groups was started by Higman . Several of the sporadic simple groups were discovered as rank 3 permutation groups. (en) Группа перестановок ранга 3 действует транзитивно на множестве так, что стабилизатор точки имеет 3 орбиты. Изучение этих групп начал Дональд Хигман. Некоторые спорадические простые группы были открыты как группы перестановок ранга 3. (ru) |
| rdfs:label |
Rank 3 permutation group (en) Группа перестановок ранга 3 (ru) |
| owl:sameAs |
freebase:Rank 3 permutation group yago-res:Rank 3 permutation group wikidata:Rank 3 permutation group dbpedia-ru:Rank 3 permutation group https://global.dbpedia.org/id/4tZ7j |
| prov:wasDerivedFrom |
wikipedia-en:Rank_3_permutation_group?oldid=1109366245&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Rank_3_permutation_group |
| is dbo:wikiPageRedirects of |
dbr:Rank-3_permutation_action dbr:Rank-3_permutation_group dbr:Rank_3_action dbr:Rank_3_permutation_representation dbr:Permutation_group_of_rank_3 |
| is dbo:wikiPageWikiLink of |
dbr:List_of_permutation_topics dbr:Conway_group_Co2 dbr:Hall–Janko_graph dbr:Suzuki_sporadic_group dbr:McLaughlin_graph dbr:Janko_group_J2 dbr:22_(number) dbr:Higman–Sims_group dbr:Classification_of_finite_simple_groups dbr:Classification_theorem dbr:Martin_Liebeck dbr:Permutation_group dbr:Rank-3_permutation_action dbr:Rank-3_permutation_group dbr:Rank_3_action dbr:Rank_3_permutation_representation dbr:Permutation_group_of_rank_3 |
| is foaf:primaryTopic of |
wikipedia-en:Rank_3_permutation_group |