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Mathieu group

In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Émile Mathieu (1861, 1873). They are multiply transitive permutation groups on 11, 12, 22, 23 or 24 objects. They are the first sporadic simple groups to be discovered.

History, Constructions of the Mathieu groups & Multiply transitive groups

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Overview

History

Multiply transitive groups

Constructions of the Mathieu groups

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Mathieu group

Nodes52
Edges51
Triples194
Avg. degree1.96
Density0.038462
Components1

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Mathieu group

Top relations

related to References · 145
Mathieu group → Abhandlungen, Academic Press, America, American Journal, American Mathematical Society, Appliquées, Atkinson, Atlas, August, Berlin, Berline Berichte, BF02948947, BF02948948, Bibcode, Boston, Brian, Bulletin, Cambridge Philosophical Society, Cambridge University Press, Cameron
related to External links · 20
Mathieu group → ATLAS, David, GroupNamesScientific American, How, Lieven, M10ATLAS, M11ATLAS, M12, M12 An, M12ATLAS, M20ATLAS, M21ATLAS, M22ATLAS, M23ATLAS, M24le Bruyn, M9, Make, Mathieu, Mathieu Group M24, Monsieur Mathieu
related to history · 10
Mathieu group → After, Carmichael, In Mathieu, J1, M12, M24, Mathieu, Miller, Steiner, Witt
related to Multiply transitive groups · 8
Mathieu group → Cameron, For, M12, M23, M24, Mathieu, Such, These
related to Automorphism groups on the Golay code · 6
Mathieu group → All, Golay, M12, M24, Mathieu, The
related to Dessins d'enfants · 4
Mathieu group → Bruyn, M12, Monsieur Mathieu, The Mathieu
related to Constructions of the Mathieu groups · 1
Mathieu group → The Mathieu

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Important terminology

groups group mathieu m24 simple m12 sporadic isbn permutation doi 10 mr points transitive mathematical m11 m23 subgroups conway automorphism

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Mathieu grouprelated to Automorphism groups on the Golay codeThe0.60section
Mathieu grouprelated to Automorphism groups on the Golay codeM240.60section
Mathieu grouprelated to Automorphism groups on the Golay codeGolay0.60section
Mathieu grouprelated to Automorphism groups on the Golay codeAll0.60section
Mathieu grouprelated to Automorphism groups on the Golay codeMathieu0.60section
Mathieu grouprelated to Automorphism groups on the Golay codeM120.60section
Mathieu grouprelated to Constructions of the Mathieu groupsThe Mathieu0.60section
Mathieu grouprelated to Dessins d'enfantsThe Mathieu0.60section
Mathieu grouprelated to Dessins d'enfantsM120.60section
Mathieu grouprelated to Dessins d'enfantsMonsieur Mathieu0.60section
Mathieu grouprelated to Dessins d'enfantsBruyn0.60section
Mathieu grouprelated to External linksATLAS0.60section

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