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- Focal_subgroup_theorem abstract "In abstract algebra, the focal subgroup theorem describes the fusion of elements in a Sylow subgroup of a finite group. The focal subgroup theorem was introduced in (Higman 1953) and is the \"first major application of the transfer\" according to (Gorenstein, Lyons & Solomon 1996, p. 90). The focal subgroup theorem relates the ideas of transfer and fusion such as described in (Grün 1936). Various applications of these ideas include local criteria for p-nilpotence and various non-simplicity criterion focussing on showing that a finite group has a normal subgroup of index p.".
- Focal_subgroup_theorem wikiPageExternalLink purl?GDZPPN002173409.
- Focal_subgroup_theorem wikiPageExternalLink p477.
- Focal_subgroup_theorem wikiPageExternalLink surv402.
- Focal_subgroup_theorem wikiPageID "25971038".
- Focal_subgroup_theorem wikiPageLength "15874".
- Focal_subgroup_theorem wikiPageOutDegree "40".
- Focal_subgroup_theorem wikiPageRevisionID "687757231".
- Focal_subgroup_theorem wikiPageWikiLink Abelian_group.
- Focal_subgroup_theorem wikiPageWikiLink Abstract_algebra.
- Focal_subgroup_theorem wikiPageWikiLink Algebraic_topology.
- Focal_subgroup_theorem wikiPageWikiLink Alperin–Brauer–Gorenstein_theorem.
- Focal_subgroup_theorem wikiPageWikiLink American_Mathematical_Society.
- Focal_subgroup_theorem wikiPageWikiLink Canadian_Journal_of_Mathematics.
- Focal_subgroup_theorem wikiPageWikiLink Category:P-groups.
- Focal_subgroup_theorem wikiPageWikiLink Category:Theorems_in_group_theory.
- Focal_subgroup_theorem wikiPageWikiLink Category_theory.
- Focal_subgroup_theorem wikiPageWikiLink Central_series.
- Focal_subgroup_theorem wikiPageWikiLink Commutator_subgroup.
- Focal_subgroup_theorem wikiPageWikiLink Core_(group_theory).
- Focal_subgroup_theorem wikiPageWikiLink Dihedral_group.
- Focal_subgroup_theorem wikiPageWikiLink Dover_Publications.
- Focal_subgroup_theorem wikiPageWikiLink Equivariant_cohomology.
- Focal_subgroup_theorem wikiPageWikiLink Finite_group.
- Focal_subgroup_theorem wikiPageWikiLink Hall_subgroup.
- Focal_subgroup_theorem wikiPageWikiLink Homotopy.
- Focal_subgroup_theorem wikiPageWikiLink Index_of_a_subgroup.
- Focal_subgroup_theorem wikiPageWikiLink Inventiones_Mathematicae.
- Focal_subgroup_theorem wikiPageWikiLink Journal_of_Algebra.
- Focal_subgroup_theorem wikiPageWikiLink Kernel_(algebra).
- Focal_subgroup_theorem wikiPageWikiLink Modular_representation_theory.
- Focal_subgroup_theorem wikiPageWikiLink Normal_p-complement.
- Focal_subgroup_theorem wikiPageWikiLink Normal_subgroup.
- Focal_subgroup_theorem wikiPageWikiLink Order_(group_theory).
- Focal_subgroup_theorem wikiPageWikiLink P-group.
- Focal_subgroup_theorem wikiPageWikiLink Philip_Hall.
- Focal_subgroup_theorem wikiPageWikiLink Quasidihedral_group.
- Focal_subgroup_theorem wikiPageWikiLink Quaternion_group.
- Focal_subgroup_theorem wikiPageWikiLink Reflective_subcategory.
- Focal_subgroup_theorem wikiPageWikiLink Simple_group.
- Focal_subgroup_theorem wikiPageWikiLink Splitting_lemma.
- Focal_subgroup_theorem wikiPageWikiLink Springer_Science+Business_Media.
- Focal_subgroup_theorem wikiPageWikiLink Sylow_theorems.
- Focal_subgroup_theorem wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Focal_subgroup_theorem wikiPageWikiLinkText "Focal subgroup theorem".
- Focal_subgroup_theorem wikiPageWikiLinkText "Focal subgroup theorem#Focal subgroup".
- Focal_subgroup_theorem wikiPageWikiLinkText "Focal subgroup theorem#lower p-series".
- Focal_subgroup_theorem wikiPageWikiLinkText "Focal subgroup theorem#p-residual subgroup".
- Focal_subgroup_theorem wikiPageWikiLinkText "Focal subgroup theorem: Subgroups".
- Focal_subgroup_theorem wikiPageWikiLinkText "focal subgroup theorem".
- Focal_subgroup_theorem date "January 2010".
- Focal_subgroup_theorem suggestion "Control of transfer leads to various p-nilpotence results; include Tate and Thompsons hyperfocal O^p and "hypo" focal E^p results; include the character theoretic transfer and the work of Yoshida; contrast to control of fusion of elements and to control of strong fusion".
- Focal_subgroup_theorem wikiPageUsesTemplate Template:!.
- Focal_subgroup_theorem wikiPageUsesTemplate Template:Anchor.
- Focal_subgroup_theorem wikiPageUsesTemplate Template:Citation.
- Focal_subgroup_theorem wikiPageUsesTemplate Template:Expand_section.
- Focal_subgroup_theorem wikiPageUsesTemplate Template:Harv.
- Focal_subgroup_theorem wikiPageUsesTemplate Template:Main.
- Focal_subgroup_theorem subject Category:P-groups.
- Focal_subgroup_theorem subject Category:Theorems_in_group_theory.
- Focal_subgroup_theorem type Redirect.
- Focal_subgroup_theorem type Theorem.
- Focal_subgroup_theorem comment "In abstract algebra, the focal subgroup theorem describes the fusion of elements in a Sylow subgroup of a finite group. The focal subgroup theorem was introduced in (Higman 1953) and is the \"first major application of the transfer\" according to (Gorenstein, Lyons & Solomon 1996, p. 90). The focal subgroup theorem relates the ideas of transfer and fusion such as described in (Grün 1936).".
- Focal_subgroup_theorem label "Focal subgroup theorem".
- Focal_subgroup_theorem sameAs Q5463860.
- Focal_subgroup_theorem sameAs m.0b6d11k.
- Focal_subgroup_theorem sameAs Q5463860.
- Focal_subgroup_theorem wasDerivedFrom Focal_subgroup_theorem?oldid=687757231.
- Focal_subgroup_theorem isPrimaryTopicOf Focal_subgroup_theorem.