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- Frattini_subgroup abstract "In mathematics, the Frattini subgroup Φ(G) of a group G is the intersection of all maximal subgroups of G. For the case that G has no maximal subgroups, for example the trivial group e or the Prüfer group, it is defined by Φ(G) = G. It is analogous to the Jacobson radical in the theory of rings, and intuitively can be thought of as the subgroup of "small elements" (see the "non-generator" characterization below). It is named after Giovanni Frattini, who defined the concept in a paper published in 1885.".
- Frattini_subgroup thumbnail Dih4_subgroups_(cycle_graphs).svg?width=300.
- Frattini_subgroup wikiPageID "540707".
- Frattini_subgroup wikiPageLength "3373".
- Frattini_subgroup wikiPageOutDegree "30".
- Frattini_subgroup wikiPageRevisionID "654734024".
- Frattini_subgroup wikiPageWikiLink Category:Functional_subgroups.
- Frattini_subgroup wikiPageWikiLink Category:Group_theory.
- Frattini_subgroup wikiPageWikiLink Characteristic_subgroup.
- Frattini_subgroup wikiPageWikiLink Cyclic_group.
- Frattini_subgroup wikiPageWikiLink Direct_sum.
- Frattini_subgroup wikiPageWikiLink Direct_sum_of_abelian_groups.
- Frattini_subgroup wikiPageWikiLink Elementary_abelian_group.
- Frattini_subgroup wikiPageWikiLink Fitting_subgroup.
- Frattini_subgroup wikiPageWikiLink Frattinis_argument.
- Frattini_subgroup wikiPageWikiLink Generating_set_of_a_group.
- Frattini_subgroup wikiPageWikiLink Giovanni_Frattini.
- Frattini_subgroup wikiPageWikiLink Group_(mathematics).
- Frattini_subgroup wikiPageWikiLink Group_isomorphism.
- Frattini_subgroup wikiPageWikiLink If_and_only_if.
- Frattini_subgroup wikiPageWikiLink Intersection_(set_theory).
- Frattini_subgroup wikiPageWikiLink Jacobson_radical.
- Frattini_subgroup wikiPageWikiLink Mathematics.
- Frattini_subgroup wikiPageWikiLink Maximal_subgroup.
- Frattini_subgroup wikiPageWikiLink Nilpotent_group.
- Frattini_subgroup wikiPageWikiLink Normal_subgroup.
- Frattini_subgroup wikiPageWikiLink Order_(group_theory).
- Frattini_subgroup wikiPageWikiLink P-group.
- Frattini_subgroup wikiPageWikiLink Prüfer_group.
- Frattini_subgroup wikiPageWikiLink Quotient_group.
- Frattini_subgroup wikiPageWikiLink Ring_(mathematics).
- Frattini_subgroup wikiPageWikiLink Socle_(mathematics).
- Frattini_subgroup wikiPageWikiLink Trivial_group.
- Frattini_subgroup wikiPageWikiLink File:Dih4_subgroups_(cycle_graphs).svg.
- Frattini_subgroup wikiPageWikiLinkText "Frattini subgroup".
- Frattini_subgroup hasPhotoCollection Frattini_subgroup.
- Frattini_subgroup wikiPageUsesTemplate Template:Cite_book.
- Frattini_subgroup subject Category:Functional_subgroups.
- Frattini_subgroup subject Category:Group_theory.
- Frattini_subgroup hypernym Intersection.
- Frattini_subgroup type RoadJunction.
- Frattini_subgroup comment "In mathematics, the Frattini subgroup Φ(G) of a group G is the intersection of all maximal subgroups of G. For the case that G has no maximal subgroups, for example the trivial group e or the Prüfer group, it is defined by Φ(G) = G. It is analogous to the Jacobson radical in the theory of rings, and intuitively can be thought of as the subgroup of "small elements" (see the "non-generator" characterization below).".
- Frattini_subgroup label "Frattini subgroup".
- Frattini_subgroup sameAs Frattinigruppe.
- Frattini_subgroup sameAs Sous-groupe_de_Frattini.
- Frattini_subgroup sameAs תת-חבורת_פרטיני.
- Frattini_subgroup sameAs Frattini-részcsoport.
- Frattini_subgroup sameAs Sottogruppo_di_Frattini.
- Frattini_subgroup sameAs フラッティーニ部分群.
- Frattini_subgroup sameAs m.02n4cw.
- Frattini_subgroup sameAs Frattini_altgrubu.
- Frattini_subgroup sameAs Підгрупа_Фраттіні.
- Frattini_subgroup sameAs Q176244.
- Frattini_subgroup sameAs Q176244.
- Frattini_subgroup wasDerivedFrom Frattini_subgroup?oldid=654734024.
- Frattini_subgroup depiction Dih4_subgroups_(cycle_graphs).svg.
- Frattini_subgroup isPrimaryTopicOf Frattini_subgroup.