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Completing Segre's proof of Wedderburn's little theorem
Author(s) -
Bamberg John,
Penttila Tim
Publication year - 2015
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdv021
Subject(s) - mathematics , elementary proof , pure mathematics , commutative property , algebra over a field
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.