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- Group_of_GF(2)-type abstract "In mathematical finite group theory, a group of GF(2)-type is a group with an involution centralizer whose generalized Fitting subgroup is a group of symplectic type (Gorenstein 1982, definition 1.45).As the name suggests, many of the groups of Lie type over the field with 2 elements are groups of GF(2)-type. Also 16 of the 26 sporadic groups are of GF(2)-type, suggesting that in some sense sporadic groups are somehow related to special properties of the field with 2 elements. Timmesfeld (1978) showed roughly that groups of GF(2)-type can be subdivided into 8 types. The groups of each of these 8 types were classified by various authors. They consist mainly of groups of Lie type with all roots of the same length over the field with 2 elements, but also include many exceptional cases, including the majority of the sporadic simple groups. Smith (1980) gave a survey of this work.Smith (1979, p.279) gives a table of simple groups containing a large extraspecial 2-group.".
- Group_of_GF(2)-type wikiPageExternalLink books?isbn=0821814400.
- Group_of_GF(2)-type wikiPageID "29876663".
- Group_of_GF(2)-type wikiPageLength "2745".
- Group_of_GF(2)-type wikiPageOutDegree "7".
- Group_of_GF(2)-type wikiPageRevisionID "541661848".
- Group_of_GF(2)-type wikiPageWikiLink Annals_of_Mathematics.
- Group_of_GF(2)-type wikiPageWikiLink Category:Finite_groups.
- Group_of_GF(2)-type wikiPageWikiLink Fitting_subgroup.
- Group_of_GF(2)-type wikiPageWikiLink Generalized_Fitting_subgroup.
- Group_of_GF(2)-type wikiPageWikiLink Group_of_Lie_type.
- Group_of_GF(2)-type wikiPageWikiLink Group_of_symplectic_type.
- Group_of_GF(2)-type wikiPageWikiLink Journal_of_Algebra.
- Group_of_GF(2)-type wikiPageWikiLinkText "Group of GF(2)-type".
- Group_of_GF(2)-type wikiPageWikiLinkText "group of GF(2)-type".
- Group_of_GF(2)-type hasPhotoCollection Group_of_GF(2)-type.
- Group_of_GF(2)-type wikiPageUsesTemplate Template:Citation.
- Group_of_GF(2)-type wikiPageUsesTemplate Template:Harv.
- Group_of_GF(2)-type wikiPageUsesTemplate Template:Harvtxt.
- Group_of_GF(2)-type subject Category:Finite_groups.
- Group_of_GF(2)-type hypernym Group.
- Group_of_GF(2)-type type Band.
- Group_of_GF(2)-type comment "In mathematical finite group theory, a group of GF(2)-type is a group with an involution centralizer whose generalized Fitting subgroup is a group of symplectic type (Gorenstein 1982, definition 1.45).As the name suggests, many of the groups of Lie type over the field with 2 elements are groups of GF(2)-type. Also 16 of the 26 sporadic groups are of GF(2)-type, suggesting that in some sense sporadic groups are somehow related to special properties of the field with 2 elements.".
- Group_of_GF(2)-type label "Group of GF(2)-type".
- Group_of_GF(2)-type sameAs m.0fqqflz.
- Group_of_GF(2)-type sameAs Q5611252.
- Group_of_GF(2)-type sameAs Q5611252.
- Group_of_GF(2)-type wasDerivedFrom Group_of_GF(2)-type?oldid=541661848.
- Group_of_GF(2)-type isPrimaryTopicOf Group_of_GF(2)-type.