UWA Logo What's On at UWA
   UWA HomeProspective Students  | Current Students  | Staff  | Alumni  | Visitors  | About  |     Search UWA    for      
 

SEMINAR: Groups and Combinatorics Seminar: Conway Groupoid

* Login to add events... *
Today's date is Thursday, March 28, 2024
Groups and Combinatorics Seminar: Conway Groupoid Other events...
Time and place: 15:00 Friday 10 April in Weatherburn LT.

Speaker: Jason Semeraro (University of Bristol)

Title: Conway Groupoids.

Abstract: To a supersimple 2-(n,4,lambda) design (a simple design where lines intersect in at most two points), one may associate a "Conway groupoid." This is a generalization of the Mathieu groupoid associated to Conway's M_13 using a `game' played on P_3, the finite projective plane of order 3. We will discuss what is known so far about Conway groupoids. Highlights include a full classification for lambda<3, a structural characterization of the Mathieu groupoid, and a surprising connection with 3-transposition groups. We also speculate on the possibility of a full classification subject to the condition that the analogue of the set M_13 actually forms a group. If time permits, we will describe a new infinite family of completely transitive codes which were discovered along the way. The talk is intended to be accessible, with plenty of time given to motivation and context. This is joint work with Nick Gill and Neil Gillespie.
Contact Gabriel Verret <[email protected]>
Start Fri, 10 Apr 2015 15:00
End Fri, 10 Apr 2015 16:00
Submitted by Gabriel Verret <[email protected]>
Last Updated Fri, 10 Apr 2015 12:07
Included in the following Calendars:
Additional Information:
  • Locations of venues on the Crawley and Nedlands campuses are available via the Campus Maps website.
  • Download this event as: Text | iCalendar
  • Mail this event:

Top of Page
© 2001-2010  The University of Western Australia
Questions? Mail [email protected]