Completing Segre's proof of Wedderburn's little theorem

John Bamberg, T. Penttila

    Research output: Contribution to journalArticle

    1 Citation (Scopus)
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    Abstract

    © 2015 London Mathematical Society. We use the Dandelin-Gallucci theorem to give a proof of Wedderburn's little theorem that every finite division ring is commutative, and the proof is geometric in the sense that the non-geometric concepts employed are of an elementary nature. As a consequence, we obtain a geometric proof that a finite Desarguesian projective space is Pappian.
    Original languageEnglish
    Pages (from-to)483-492
    JournalBulletin of the London Mathematical Society
    Volume47
    Issue number3
    Early online date25 Mar 2015
    DOIs
    Publication statusPublished - Jun 2015

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    Geometric proof
    Finite Rings
    Division ring or skew field
    Projective Space
    Theorem
    Concepts

    Cite this

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    abstract = "{\circledC} 2015 London Mathematical Society. We use the Dandelin-Gallucci theorem to give a proof of Wedderburn's little theorem that every finite division ring is commutative, and the proof is geometric in the sense that the non-geometric concepts employed are of an elementary nature. As a consequence, we obtain a geometric proof that a finite Desarguesian projective space is Pappian.",
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    Completing Segre's proof of Wedderburn's little theorem. / Bamberg, John; Penttila, T.

    In: Bulletin of the London Mathematical Society, Vol. 47, No. 3, 06.2015, p. 483-492.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Completing Segre's proof of Wedderburn's little theorem

    AU - Bamberg, John

    AU - Penttila, T.

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    N2 - © 2015 London Mathematical Society. We use the Dandelin-Gallucci theorem to give a proof of Wedderburn's little theorem that every finite division ring is commutative, and the proof is geometric in the sense that the non-geometric concepts employed are of an elementary nature. As a consequence, we obtain a geometric proof that a finite Desarguesian projective space is Pappian.

    AB - © 2015 London Mathematical Society. We use the Dandelin-Gallucci theorem to give a proof of Wedderburn's little theorem that every finite division ring is commutative, and the proof is geometric in the sense that the non-geometric concepts employed are of an elementary nature. As a consequence, we obtain a geometric proof that a finite Desarguesian projective space is Pappian.

    U2 - 10.1112/blms/bdv021

    DO - 10.1112/blms/bdv021

    M3 - Article

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    JO - Bulletin of the London Mathematical Society

    JF - Bulletin of the London Mathematical Society

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