SEMINAR: Groups and Combinatorics Seminar, Generalized quadrangles and ASconfigurations of finite pgroups


Groups and Combinatorics Seminar, Generalized quadrangles and ASconfigurations of finite pgroups 
Other events...

Stephen Glasby (UWA)
will speak on
Generalized quadrangles and ASconfigurations of finite pgroups
at 3pm Friday 12 September in Weatherburn Lecture Theatre.
Abstract:
This is joint work with John Bamberg and Eric Swartz at UWA.
One method for constructing generalized quadrangles involves finding a certain family of subgroups of a group. Given a group G of order q^3 we seek a family of q+2 subgroups U_0, U_1,..., U_{q+1} of G, each of order q, such that U_0 is normal in G and U_iU_j ap U_k={1} for all distinct i,j,k in {0,1,...,q+1}. The family is called an ASconfiguration for G. We determine all the ASconfigurations for q odd as well as q=2,4,8. To determine q=8 we showed, using extensive theory and computation, that only one of the 10,494,213 groups of order 2^9 admits an ASconfiguration!
Speaker(s) 
Stephen Glasby (UWA)

Location 
Weatherburn Lecture Theatre G.40, The University of Western Australia


Contact 
Irene Pivotto
<[email protected]>

Start 
Fri, 12 Sep 2014 15:00

End 
Fri, 12 Sep 2014 16:00

Submitted by 
Irene Pivotto <[email protected]>

Last Updated 
Mon, 13 Oct 2014 15:49

Included in the following Calendars: 

 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:
