Completing Segre's proof of Wedderburn's little theorem

John Bamberg; T. Penttila

doi:10.1112/blms/bdv021

Completing Segre's proof of Wedderburn's little theorem

John Bamberg, T. Penttila

Research output: Contribution to journal › Article › peer-review

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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 language	English
Pages (from-to)	483-492
Journal	Bulletin of the London Mathematical Society
Volume	47
Issue number	3
Early online date	25 Mar 2015
DOIs	https://doi.org/10.1112/blms/bdv021
Publication status	Published - Jun 2015

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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.

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DO - 10.1112/blms/bdv021

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

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Completing Segre's proof of Wedderburn's little theorem

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