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

SEMINAR: Groups and Combinatorics Seminar: p-groups, Weyl modules, and maximal subgroups of linear groups

* Login to add events... *
Today's date is Friday, March 29, 2024
Groups and Combinatorics Seminar: p-groups, Weyl modules, and maximal subgroups of linear groups Other events...
Time and place: 15:00 Friday 15 May in Weatherburn LT.

Speaker: Stephen Glasby (University of Western Australia)

Title: p-groups, Weyl modules, and maximal subgroups of linear groups.

Abstract: Given a subgroup H of GL(d,p), there exists a d-generated p-group G whose automorphism group induces the linear group H on the Frattini quotient G/Phi(G). The proof of this fact is non-constructive. In some sense G is a "non-linear representation" of H.

We consider how to go from a *maximal* subgroup H of GL(d,p) to a nonabelian p-group G with minimal class/exponent/order. This involves understanding the H-submodule structure of Weyl modules and some intriguing H-homomorphisms. This work was motivated by applications to geometry and algorithms for p-groups, and is joint with John Bamberg, Luke Morgan and Alice Niemeyer.
Contact Gabriel Verret <[email protected]>
Start Fri, 15 May 2015 15:00
End Fri, 15 May 2015 16:00
Submitted by Gabriel Verret <[email protected]>
Last Updated Tue, 12 May 2015 09:22
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]