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- Thin_group_(finite_group_theory) abstract "In the mathematical classification of finite simple groups, a thin group is a finite group such that for every odd prime number p, the Sylow p-subgroups of the 2-local subgroups are cyclic. Informally, these are the groups that resemble rank 1 groups of Lie type over a finite field of characteristic 2.Janko (1972) defined thin groups and classified those of characteristic 2 type in which all 2-local subgroups are solvable.The thin simple groups were classified by Aschbacher (1976, 1978). The list of finite simple thin groups consists of:The projective special linear groups PSL2(q) and PSL3(p) for p = 1 + 2a3b and PSL3(4)The projective special unitary groups PSU3(p) for p =−1 + 2a3b and b = 0 or 1 and PSU3(2n)The Suzuki groups Sz(2n)The Tits group 2F4(2)'The Steinberg group 3D4(2)The Mathieu group M11The Janko group J1".
- Thin_group_(finite_group_theory) wikiPageExternalLink home.html.
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- Thin_group_(finite_group_theory) wikiPageOutDegree "19".
- Thin_group_(finite_group_theory) wikiPageRevisionID "636575274".
- Thin_group_(finite_group_theory) wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Thin_group_(finite_group_theory) wikiPageWikiLink Category:Finite_groups.
- Thin_group_(finite_group_theory) wikiPageWikiLink Classification_of_finite_simple_groups.
- Thin_group_(finite_group_theory) wikiPageWikiLink Cyclic_group.
- Thin_group_(finite_group_theory) wikiPageWikiLink Finite_field.
- Thin_group_(finite_group_theory) wikiPageWikiLink Finite_group.
- Thin_group_(finite_group_theory) wikiPageWikiLink Group_of_Lie_type.
- Thin_group_(finite_group_theory) wikiPageWikiLink Janko_group_J1.
- Thin_group_(finite_group_theory) wikiPageWikiLink Journal_of_Algebra.
- Thin_group_(finite_group_theory) wikiPageWikiLink Local_property.
- Thin_group_(finite_group_theory) wikiPageWikiLink Local_subgroup.
- Thin_group_(finite_group_theory) wikiPageWikiLink Mathieu_group.
- Thin_group_(finite_group_theory) wikiPageWikiLink Prime_number.
- Thin_group_(finite_group_theory) wikiPageWikiLink Quasithin_group.
- Thin_group_(finite_group_theory) wikiPageWikiLink Simple_group.
- Thin_group_(finite_group_theory) wikiPageWikiLink Steinberg_group_(Lie_theory).
- Thin_group_(finite_group_theory) wikiPageWikiLink Suzuki_groups.
- Thin_group_(finite_group_theory) wikiPageWikiLink Sylow_theorems.
- Thin_group_(finite_group_theory) wikiPageWikiLink Tits_group.
- Thin_group_(finite_group_theory) wikiPageWikiLinkText "Thin group (finite group theory)".
- Thin_group_(finite_group_theory) hasPhotoCollection Thin_group_(finite_group_theory).
- Thin_group_(finite_group_theory) wikiPageUsesTemplate Template:Citation.
- Thin_group_(finite_group_theory) wikiPageUsesTemplate Template:Harvs.
- Thin_group_(finite_group_theory) wikiPageUsesTemplate Template:Harvtxt.
- Thin_group_(finite_group_theory) subject Category:Finite_groups.
- Thin_group_(finite_group_theory) hypernym Group.
- Thin_group_(finite_group_theory) type Band.
- Thin_group_(finite_group_theory) comment "In the mathematical classification of finite simple groups, a thin group is a finite group such that for every odd prime number p, the Sylow p-subgroups of the 2-local subgroups are cyclic. Informally, these are the groups that resemble rank 1 groups of Lie type over a finite field of characteristic 2.Janko (1972) defined thin groups and classified those of characteristic 2 type in which all 2-local subgroups are solvable.The thin simple groups were classified by Aschbacher (1976, 1978).".
- Thin_group_(finite_group_theory) label "Thin group (finite group theory)".
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- Thin_group_(finite_group_theory) sameAs Q7784284.
- Thin_group_(finite_group_theory) sameAs Q7784284.
- Thin_group_(finite_group_theory) wasDerivedFrom Thin_group_(finite_group_theory)?oldid=636575274.
- Thin_group_(finite_group_theory) isPrimaryTopicOf Thin_group_(finite_group_theory).