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SEMINAR: Groups and Combinatorics Seminar, A geometric proof of Wedderburn's Theorem

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Today's date is Friday, February 26, 2021
Groups and Combinatorics Seminar, A geometric proof of Wedderburn's Theorem Other events...
John Bamberg (UWA)

will speak on

A geometric proof of Wedderburn's Theorem

at 3pm Friday 26 September in Weatherburn Lecture Theatre.

Abstract:

J. H. Maclagan-Wedderburn (1905) exploited the interplay between a finite division ring and its group of units to prove that a finite division ring is commutative (and hence a field). One of the most well-known applications of this result is that a finite projective plane is Desarguesian if and only if it is Pappian. It is perhaps not as well-known that Wedderburn's Theorem also implies the Dandelin-Galluci Theorem for finite projective 3-spaces. In joint work with Tim Penttila, the Dandelin-Galluci Theorem plays the central role in a proof of Wedderburn's Theorem, thus completing Beniamino Segre's dream of developing a proof of Wedderburn's Theorem that is truly geometric.
Speaker(s) John Bamberg (UWA)
Location Weatherburn Lecture Theatre G.40, The University of Western Australia
Contact Irene Pivotto <[email protected]>
Start Fri, 26 Sep 2014 15:00
End Fri, 26 Sep 2014 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Mon, 13 Oct 2014 15:50
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