Completing Segre's proof of Wedderburn's little theorem

John Bamberg, T. Penttila

    Research output: Contribution to journal › Article

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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.
    LanguageEnglish
    Pages483-492
    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

    Bamberg, John ; Penttila, T. / Completing Segre's proof of Wedderburn's little theorem. In: Bulletin of the London Mathematical Society. 2015 ; Vol. 47, No. 3. pp. 483-492.
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    Bamberg, J & Penttila, T 2015, 'Completing Segre's proof of Wedderburn's little theorem' Bulletin of the London Mathematical Society, vol. 47, no. 3, pp. 483-492. https://doi.org/10.1112/blms/bdv021

    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 journal › Article

    TY - JOUR

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

    AU - Bamberg, John

    AU - Penttila, T.

    PY - 2015/6

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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

    VL - 47

    SP - 483

    EP - 492

    JO - Bulletin of the London Mathematical Society

    T2 - Bulletin of the London Mathematical Society

    JF - Bulletin of the London Mathematical Society

    SN - 0024-6093

    IS - 3

    ER -

    Bamberg J, Penttila T. Completing Segre's proof of Wedderburn's little theorem. Bulletin of the London Mathematical Society. 2015 Jun;47(3):483-492. https://doi.org/10.1112/blms/bdv021

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