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- Nilpotent_group abstract "In group theory, a nilpotent group is a group that is \"almost abelian\". This idea is motivated by the fact that nilpotent groups are solvable, and for finite nilpotent groups, two elements having relatively prime orders must commute. It is also true that finite nilpotent groups are supersolvable.Nilpotent groups arise in Galois theory, as well as in the classification of groups. They also appear prominently in the classification of Lie groups.Analogous terms are used for Lie algebras (using the Lie bracket) including nilpotent, lower central series, and upper central series.".
- Nilpotent_group thumbnail HeisenbergCayleyGraph.png?width=300.
- Nilpotent_group wikiPageExternalLink 1183537230.
- Nilpotent_group wikiPageID "144569".
- Nilpotent_group wikiPageLength "9832".
- Nilpotent_group wikiPageOutDegree "44".
- Nilpotent_group wikiPageRevisionID "699756495".
- Nilpotent_group wikiPageWikiLink Abelian_group.
- Nilpotent_group wikiPageWikiLink Borel_subgroup.
- Nilpotent_group wikiPageWikiLink Category:Nilpotent_groups.
- Nilpotent_group wikiPageWikiLink Category:Properties_of_groups.
- Nilpotent_group wikiPageWikiLink Central_series.
- Nilpotent_group wikiPageWikiLink Centralizer_and_normalizer.
- Nilpotent_group wikiPageWikiLink Commutator.
- Nilpotent_group wikiPageWikiLink Coprime_integers.
- Nilpotent_group wikiPageWikiLink Dihedral_group.
- Nilpotent_group wikiPageWikiLink Direct_product.
- Nilpotent_group wikiPageWikiLink Direct_product_of_groups.
- Nilpotent_group wikiPageWikiLink Engel_group.
- Nilpotent_group wikiPageWikiLink Galois_theory.
- Nilpotent_group wikiPageWikiLink Generating_set_of_a_group.
- Nilpotent_group wikiPageWikiLink Group_homomorphism.
- Nilpotent_group wikiPageWikiLink Group_theory.
- Nilpotent_group wikiPageWikiLink Heisenberg_group.
- Nilpotent_group wikiPageWikiLink Lie_algebra.
- Nilpotent_group wikiPageWikiLink Lie_bracket_of_vector_fields.
- Nilpotent_group wikiPageWikiLink Lie_group.
- Nilpotent_group wikiPageWikiLink Nilpotent.
- Nilpotent_group wikiPageWikiLink Nilpotent_Lie_algebra.
- Nilpotent_group wikiPageWikiLink Normal_subgroup.
- Nilpotent_group wikiPageWikiLink Order_(group_theory).
- Nilpotent_group wikiPageWikiLink P-group.
- Nilpotent_group wikiPageWikiLink Quasidihedral_group.
- Nilpotent_group wikiPageWikiLink Quaternion_group.
- Nilpotent_group wikiPageWikiLink Quotient_group.
- Nilpotent_group wikiPageWikiLink Solvable_group.
- Nilpotent_group wikiPageWikiLink Supersolvable_group.
- Nilpotent_group wikiPageWikiLink Sylow_theorems.
- Nilpotent_group wikiPageWikiLink Torsion_subgroup.
- Nilpotent_group wikiPageWikiLink Unipotent.
- Nilpotent_group wikiPageWikiLink File:HeisenbergCayleyGraph.png.
- Nilpotent_group wikiPageWikiLinkText "'''N'''ilpotent".
- Nilpotent_group wikiPageWikiLinkText "''nilpotency class''".
- Nilpotent_group wikiPageWikiLinkText "Nilpotent group".
- Nilpotent_group wikiPageWikiLinkText "Nilpotent group#Properties".
- Nilpotent_group wikiPageWikiLinkText "Nilpotent".
- Nilpotent_group wikiPageWikiLinkText "nilpotency class".
- Nilpotent_group wikiPageWikiLinkText "nilpotency".
- Nilpotent_group wikiPageWikiLinkText "nilpotent Lie group".
- Nilpotent_group wikiPageWikiLinkText "nilpotent group".
- Nilpotent_group wikiPageWikiLinkText "nilpotent groups".
- Nilpotent_group wikiPageWikiLinkText "nilpotent subgroup".
- Nilpotent_group wikiPageWikiLinkText "nilpotent".
- Nilpotent_group wikiPageUsesTemplate Template:Cite_book.
- Nilpotent_group wikiPageUsesTemplate Template:Group_theory_sidebar.
- Nilpotent_group wikiPageUsesTemplate Template:Reflist.
- Nilpotent_group subject Category:Nilpotent_groups.
- Nilpotent_group subject Category:Properties_of_groups.
- Nilpotent_group hypernym Group.
- Nilpotent_group type Band.
- Nilpotent_group type Group.
- Nilpotent_group type Group.
- Nilpotent_group type Property.
- Nilpotent_group comment "In group theory, a nilpotent group is a group that is \"almost abelian\". This idea is motivated by the fact that nilpotent groups are solvable, and for finite nilpotent groups, two elements having relatively prime orders must commute. It is also true that finite nilpotent groups are supersolvable.Nilpotent groups arise in Galois theory, as well as in the classification of groups.".
- Nilpotent_group label "Nilpotent group".
- Nilpotent_group sameAs Q1755242.
- Nilpotent_group sameAs Nilpotente_Gruppe.
- Nilpotent_group sameAs Grupo_nilpotente.
- Nilpotent_group sameAs Groupe_nilpotent.
- Nilpotent_group sameAs חבורה_נילפוטנטית.
- Nilpotent_group sameAs Gruppo_nilpotente.
- Nilpotent_group sameAs 멱영군.
- Nilpotent_group sameAs Nilpotente_groep.
- Nilpotent_group sameAs Grupa_nilpotentna.
- Nilpotent_group sameAs Grupos_nilpotentes.
- Nilpotent_group sameAs m.012b52.
- Nilpotent_group sameAs Нильпотентная_группа.
- Nilpotent_group sameAs Нільпотентна_група.
- Nilpotent_group sameAs Nhóm_lũy_linh.
- Nilpotent_group sameAs Q1755242.
- Nilpotent_group sameAs 冪零群.
- Nilpotent_group wasDerivedFrom Nilpotent_group?oldid=699756495.
- Nilpotent_group depiction HeisenbergCayleyGraph.png.
- Nilpotent_group isPrimaryTopicOf Nilpotent_group.