Completing Segre's proof of Wedderburn's little theorem

John Bamberg, T. Penttila

    Research output: Contribution to journal › Article

    1 Citation (Scopus)
    277 Downloads (Pure)

    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

    Fingerprint

    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.
    @article{02353184d79b484fba6fcc32b2bab7bc,
    title = "Completing Segre's proof of Wedderburn's little theorem",
    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.",
    author = "John Bamberg and T. Penttila",
    year = "2015",
    month = "6",
    doi = "10.1112/blms/bdv021",
    language = "English",
    volume = "47",
    pages = "483--492",
    journal = "Bulletin of the London Mathematical Society",
    issn = "0024-6093",
    publisher = "Oxford University Press",
    number = "3",

    }

    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

    Y1 - 2015/6

    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

    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

    Access to Document

      Related content

      Grants

      Finite geometry from an algebraic point of view

      Project: Research