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Mathieu groupoid information


In mathematics, the Mathieu groupoid M13 is a groupoid acting on 13 points such that the stabilizer of each point is the Mathieu group M12. It was introduced by Conway (1987, 1997) and studied in detail by Conway, Elkies & Martin (2006).

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Mathieu groupoid

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In mathematics, the Mathieu groupoid M13 is a groupoid acting on 13 points such that the stabilizer of each point is the Mathieu group M12. It was introduced...

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Groupoid

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homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group in several equivalent ways. A groupoid can be seen...

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Mathieu group

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obtaining the Mathieu groupoid M13 acting on 13 points. M21 is simple, but is not a sporadic group, being isomorphic to PSL(3,4). Mathieu (1861, p.271)...

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John Horton Conway

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connections to string theory. Conway introduced the Mathieu groupoid, an extension of the Mathieu group M12 to 13 points. As a graduate student, he proved...

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Poisson manifold

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{\displaystyle T^{*}M} is not always integrable to a Lie groupoid. A symplectic groupoid is a Lie groupoid G ⇉ M {\displaystyle {\mathcal {G}}\rightrightarrows...

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M13

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(Istanbul Metro), a rapid transit rail line in Istanbul Turkey M13, the Mathieu groupoid by John Horton Conway M13 bacteriophage, a virus that infects bacteria...

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Orbifold

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& Haefliger 1999. Di Francesco, Mathieu & Sénéchal 1997. Bredon 1972. Moerdijk, Ieke (2002). Orbifolds as Groupoids: an Introduction. Orbifolds in mathematics...

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Group action

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by the action groupoid G′ = G ⋉ X associated to the group action. The stabilizers of the action are the vertex groups of the groupoid and the orbits...

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Galois theory

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Galois theory of Grothendieck, and some generalisations, leading to Galois groupoids.) Lang, Serge (1994). Algebraic Number Theory. Berlin, New York: Springer-Verlag...

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Alexander Grothendieck

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and Breach Science Publishers. ISBN 978-0-677-30020-7. OCLC 886098. ∞-groupoid λ-ring AB5 category Abelian category Accessible category Algebraic geometry...

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List of problems in loop theory and quasigroup theory

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Rozskowska-Lech, B. (1999), "A representation of symmetric idempotent and entropic groupoids", Demonstr. Math., 32: 248–262. Shcherbacov, V.A.; Pushkashu, D.I. (2010)...

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