Algebra & Combinatorics Seminars
forthcoming | previous 

Forthcoming Seminars - 2018 to 2019

Wednesday the 30th of January at 1pm in Lecture Theatre D
Peter Cameron
University of St Andrews
The Hall--Paige conjecture and an application

In 1955, Marshall Hall Jr. and Lowell Paige conjectured that the Cayley table of a finite group \(G\) has an orthogonal mate if and only if the Sylow 2-subgroups of \(G\) are trivial or non-cyclic. This was proved in 2009 by the combined efforts of Stuart Wilcox, Anthony Evans, and John Bray, but the final step (involving the sporadic group \(J_4\)) was never published.

Last year, an application emerged, a proof that primitive permutation groups of simple diagonal type with more than two factors in the socle are non-synchronizing. A paper has appeared on the arXiv including both a description of Bray's argument for \(J_4\) and a proof of the application (and a little bit more).

I will discuss these matters, starting from a minimal amount of background.



Wednesday the 6th of February at 1:30pm in Lecture Theatre D
Nayab Khalid
University of St Andrews
TBA



Wednesday the 6th of February at 1pm in Lecture Theatre D
Matt McDevitt
University of St Andrews
TBA



Wednesday the 27th of February at 1pm in Lecture Theatre D
Ashley Clayton
University of St Andrews
TBA



Wednesday the 3rd of April at 1pm in Lecture Theatre D
Gerard O'Reilly
University of St Andrews
TBA



Wednesday the 17th of April at 1pm in Lecture Theatre D
Simon Jurina
University of St Andrews
TBA



Wednesday the 17th of April at 1:30pm in Lecture Theatre D
Finn Smith
University of St Andrews
TBA



Wednesday the 1st of May at 1:30pm in Lecture Theatre D
Luke Elliott
University of St Andrews
TBA



Wednesday the 1st of May at 1pm in Lecture Theatre D
Veronica Kelsey
University of St Andrews
TBA



Wednesday the 8th of May at 1:30pm in Lecture Theatre D
Raad Al-Kohli
University of St Andrews
TBA



Wednesday the 8th of May at 1pm in Lecture Theatre D
Mohammed Aljohani
University of St Andrews
TBA