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- C-group abstract "In mathematical group theory, a C-group is a group such that the centralizer of any involution has a normal Sylow 2-subgroup. They include as special cases CIT-groups where the centralizer of any involution is a 2-group, and TI-groups where any Sylow 2-subgroups have trivial intersection.The simple C-groups were determined by Suzuki (1965), and his classification is summarized by Gorenstein (1980, 16.4). The classification of C-groups was used in Thompson's classification of N-groups.The simple C-groups are the projective special linear groups PSL2(p) for p a Fermat or Mersenne primethe projective special linear groups PSL2(9)the projective special linear groups PSL2(2n) for n≥2the projective special linear groups PSL3(q) for q a prime powerthe Suzuki groups Sz(22n+1) for n≥1the projective unitary groups PU3(q) for q a prime power".
- C-group wikiPageID "29529118".
- C-group wikiPageLength "3408".
- C-group wikiPageOutDegree "7".
- C-group wikiPageRevisionID "586407962".
- C-group wikiPageWikiLink Annals_of_Mathematics.
- C-group wikiPageWikiLink Category:Finite_groups.
- C-group wikiPageWikiLink N-group_(finite_group_theory).
- C-group wikiPageWikiLink Ree_group.
- C-group wikiPageWikiLink Suzuki-Ree_group.
- C-group wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- C-group wikiPageWikiLinkText "C-group".
- C-group hasPhotoCollection C-group.
- C-group wikiPageUsesTemplate Template:Citation.
- C-group wikiPageUsesTemplate Template:For.
- C-group wikiPageUsesTemplate Template:Harvs.
- C-group wikiPageUsesTemplate Template:Harvtxt.
- C-group subject Category:Finite_groups.
- C-group hypernym Group.
- C-group type Band.
- C-group type Group.
- C-group type Group.
- C-group comment "In mathematical group theory, a C-group is a group such that the centralizer of any involution has a normal Sylow 2-subgroup. They include as special cases CIT-groups where the centralizer of any involution is a 2-group, and TI-groups where any Sylow 2-subgroups have trivial intersection.The simple C-groups were determined by Suzuki (1965), and his classification is summarized by Gorenstein (1980, 16.4).".
- C-group label "C-group".
- C-group sameAs m.0ds94zr.
- C-group sameAs Q5005940.
- C-group sameAs Q5005940.
- C-group wasDerivedFrom C-group?oldid=586407962.
- C-group isPrimaryTopicOf C-group.