Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Artin_transfer_(group_theory)> ?p ?o }
Showing triples 1 to 86 of
86
with 100 triples per page.
- Artin_transfer_(group_theory) abstract "In the mathematical field of group theory,an Artin transfer is a certain homomorphismfrom an arbitrary finite or infinite group to the commutator quotient group of a subgroup of finite index.Originally, such mappings arose as group theoretic counterparts of class extension homomorphismsof abelian extensions of algebraic number fieldsby applying Artin's reciprocity maps to ideal class groupsand analyzing the resulting homomorphisms between quotients of Galois groups.However, independently of number theoretic applications,a partial order on the kernels and targets of Artin transfers has recently turned out to be compatible withparent-descendant relations between finite p-groups (with a prime number p), which can be visualized in descendant trees.Therefore, Artin transfers provide a valuable tool for the classification of finite p-groupsand for searching and identifying particular groups in descendant trees by looking for patterns defined by the kernels and targets of Artin transfers.These strategies of pattern recognition are useful in purely group theoretic context,as well as for applications in algebraic number theory concerning Galois groups of higher p-class fields and Hilbert p-class field towers.".
- Artin_transfer_(group_theory) wikiPageExternalLink A242863.
- Artin_transfer_(group_theory) wikiPageExternalLink A242873.
- Artin_transfer_(group_theory) wikiPageExternalLink A242878.
- Artin_transfer_(group_theory) wikiPageExternalLink A247688.
- Artin_transfer_(group_theory) wikiPageExternalLink A247689.
- Artin_transfer_(group_theory) wikiPageExternalLink A247690.
- Artin_transfer_(group_theory) wikiPageExternalLink A247692.
- Artin_transfer_(group_theory) wikiPageExternalLink A247693.
- Artin_transfer_(group_theory) wikiPageExternalLink A247694.
- Artin_transfer_(group_theory) wikiPageExternalLink A247695.
- Artin_transfer_(group_theory) wikiPageExternalLink A247696.
- Artin_transfer_(group_theory) wikiPageExternalLink A247697.
- Artin_transfer_(group_theory) wikiPageID "43066470".
- Artin_transfer_(group_theory) wikiPageLength "138651".
- Artin_transfer_(group_theory) wikiPageOutDegree "55".
- Artin_transfer_(group_theory) wikiPageRevisionID "696582572".
- Artin_transfer_(group_theory) wikiPageWikiLink Algebraic_number_field.
- Artin_transfer_(group_theory) wikiPageWikiLink Algebraic_number_theory.
- Artin_transfer_(group_theory) wikiPageWikiLink Artin_reciprocity_law.
- Artin_transfer_(group_theory) wikiPageWikiLink Artin_transfer_(group_theory).
- Artin_transfer_(group_theory) wikiPageWikiLink Category:Class_field_theory.
- Artin_transfer_(group_theory) wikiPageWikiLink Category:Group_theory.
- Artin_transfer_(group_theory) wikiPageWikiLink Class_field_theory.
- Artin_transfer_(group_theory) wikiPageWikiLink Commutator_subgroup.
- Artin_transfer_(group_theory) wikiPageWikiLink Descendant_tree_(group_theory).
- Artin_transfer_(group_theory) wikiPageWikiLink Double_coset.
- Artin_transfer_(group_theory) wikiPageWikiLink File:Coclass1Tree2Groups.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:Coclass1Tree3Groups.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:Coclass1Tree5Groups.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:Coclass2TreeQType33.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:Coclass2TreeUType33.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:EpiAndArtinTransfers.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:EpiAndDerivedQuotients.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:FactorThruDerivedQuotient.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:FrequencyCoclass2Type33Sporadic.tiff.
- Artin_transfer_(group_theory) wikiPageWikiLink File:MinDiscriminantsCoclass2Type33Sporadic.tiff.
- Artin_transfer_(group_theory) wikiPageWikiLink File:MinDiscriminantsCoclass2Type55Sporadic.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:MinDiscriminantsCoclass2Type77Sporadic.tiff.
- Artin_transfer_(group_theory) wikiPageWikiLink File:MinDiscriminantsTreeQ.png.
- Artin_transfer_(group_theory) wikiPageWikiLink File:MinDiscriminantsTreeU.png.
- Artin_transfer_(group_theory) wikiPageWikiLink Group_theory.
- Artin_transfer_(group_theory) wikiPageWikiLink Induced_homomorphism_(quotient_group).
- Artin_transfer_(group_theory) wikiPageWikiLink P-group.
- Artin_transfer_(group_theory) wikiPageWikiLink P-group_generation_algorithm.
- Artin_transfer_(group_theory) wikiPageWikiLink Principalization_(algebra).
- Artin_transfer_(group_theory) wikiPageWikiLink Transfer_(group_theory).
- Artin_transfer_(group_theory) wikiPageWikiLink File:TreeCoclass2RootQ.png.
- Artin_transfer_(group_theory) wikiPageWikiLinkText "'''induced automorphism'''".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "Artin transfer homomorphisms".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "Artin transfer".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "Artin transfers".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "commutator calculus".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "computational implementation".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "disjoint cycles".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "induced Artin transfer".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "induced transfer".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "kernels and targets of Artin transfers".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "pattern recognition".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "permutation representation".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "representatives".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "stabilization phenomena".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "straightforward".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "structured descendant trees".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "target of the Artin transfer".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "transfer homomorphism".
- Artin_transfer_(group_theory) wikiPageWikiLinkText "transversals of a subgroup".
- Artin_transfer_(group_theory) title "Proof".
- Artin_transfer_(group_theory) titlestyle "background:LightSteelBlue; text-align:center;".
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:EquationNote.
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:Hidden_begin.
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:Hidden_end.
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:Merge.
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:Multiple_issues.
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:Reflist.
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:Technical.
- Artin_transfer_(group_theory) wikiPageUsesTemplate Template:Very_long.
- Artin_transfer_(group_theory) subject Category:Class_field_theory.
- Artin_transfer_(group_theory) subject Category:Group_theory.
- Artin_transfer_(group_theory) comment "In the mathematical field of group theory,an Artin transfer is a certain homomorphismfrom an arbitrary finite or infinite group to the commutator quotient group of a subgroup of finite index.Originally, such mappings arose as group theoretic counterparts of class extension homomorphismsof abelian extensions of algebraic number fieldsby applying Artin's reciprocity maps to ideal class groupsand analyzing the resulting homomorphisms between quotients of Galois groups.However, independently of number theoretic applications,a partial order on the kernels and targets of Artin transfers has recently turned out to be compatible withparent-descendant relations between finite p-groups (with a prime number p), which can be visualized in descendant trees.Therefore, Artin transfers provide a valuable tool for the classification of finite p-groupsand for searching and identifying particular groups in descendant trees by looking for patterns defined by the kernels and targets of Artin transfers.These strategies of pattern recognition are useful in purely group theoretic context,as well as for applications in algebraic number theory concerning Galois groups of higher p-class fields and Hilbert p-class field towers.".
- Artin_transfer_(group_theory) label "Artin transfer (group theory)".
- Artin_transfer_(group_theory) sameAs Q18354462.
- Artin_transfer_(group_theory) sameAs m.010xbmrn.
- Artin_transfer_(group_theory) sameAs Q18354462.
- Artin_transfer_(group_theory) wasDerivedFrom Artin_transfer_(group_theory)?oldid=696582572.
- Artin_transfer_(group_theory) isPrimaryTopicOf Artin_transfer_(group_theory).