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- CN-group abstract "In mathematics, in the area of algebra known as group theory, a more than fifty-year effort was made to answer a conjecture of (Burnside 1911): are all groups of odd order solvable? Progress was made by showing that CA-groups, groups in which the centralizer of a non-identity element is abelian, of odd order are solvable (Suzuki 1957). Further progress was made showing that CN-groups, groups in which the centralizer of a non-identity element is nilpotent, of odd order are solvable (Feit, Hall & Thompson 1961). The complete solution was given in (Feit & Thompson 1963), but further work on CN-groups was done in (Suzuki 1961), giving more detailed information about the structure of these groups. For instance, a non-solvable CN-group G is such that its largest solvable normal subgroup O∞(G) is a 2-group, and the quotient is a group of even order.".
- CN-group wikiPageExternalLink Journal?authority=euclid.pjm&issue=1103053941.
- CN-group wikiPageID "5745210".
- CN-group wikiPageLength "3602".
- CN-group wikiPageOutDegree "21".
- CN-group wikiPageRevisionID "662017996".
- CN-group wikiPageWikiLink 3-step_group.
- CN-group wikiPageWikiLink Algebra.
- CN-group wikiPageWikiLink CA-group.
- CN-group wikiPageWikiLink Category:Finite_groups.
- CN-group wikiPageWikiLink Category:Group_theory.
- CN-group wikiPageWikiLink Category:Properties_of_groups.
- CN-group wikiPageWikiLink Centralizer.
- CN-group wikiPageWikiLink Centralizer_and_normalizer.
- CN-group wikiPageWikiLink Core_(group).
- CN-group wikiPageWikiLink Fermat_number.
- CN-group wikiPageWikiLink Fermat_prime.
- CN-group wikiPageWikiLink Frobenius_group.
- CN-group wikiPageWikiLink Frobenius_groups.
- CN-group wikiPageWikiLink Group_(mathematics).
- CN-group wikiPageWikiLink Group_of_Lie_type.
- CN-group wikiPageWikiLink Group_theory.
- CN-group wikiPageWikiLink Mathematics.
- CN-group wikiPageWikiLink Mathematische_Zeitschrift.
- CN-group wikiPageWikiLink Mersenne_prime.
- CN-group wikiPageWikiLink Nilpotent_group.
- CN-group wikiPageWikiLink Order_(group_theory).
- CN-group wikiPageWikiLink P-group.
- CN-group wikiPageWikiLink Solvable_group.
- CN-group wikiPageWikiLink Suzuki_simple_group.
- CN-group wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- CN-group wikiPageWikiLinkText "CN-group".
- CN-group hasPhotoCollection CN-group.
- CN-group wikiPageUsesTemplate Template:About.
- CN-group wikiPageUsesTemplate Template:Abstract-algebra-stub.
- CN-group wikiPageUsesTemplate Template:Citation.
- CN-group wikiPageUsesTemplate Template:Harv.
- CN-group subject Category:Finite_groups.
- CN-group subject Category:Group_theory.
- CN-group subject Category:Properties_of_groups.
- CN-group type Article.
- CN-group type Group.
- CN-group type Article.
- CN-group type Group.
- CN-group type Property.
- CN-group comment "In mathematics, in the area of algebra known as group theory, a more than fifty-year effort was made to answer a conjecture of (Burnside 1911): are all groups of odd order solvable? Progress was made by showing that CA-groups, groups in which the centralizer of a non-identity element is abelian, of odd order are solvable (Suzuki 1957).".
- CN-group label "CN-group".
- CN-group sameAs m.0f2d6t.
- CN-group sameAs Q5013062.
- CN-group sameAs Q5013062.
- CN-group wasDerivedFrom CN-group?oldid=662017996.
- CN-group isPrimaryTopicOf CN-group.