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

SEMINAR: Groups and Combinatorics Seminar: A class of abundant p-singular elements in finite classical groups

* Login to add events... *
Today's date is Tuesday, March 19, 2024
Groups and Combinatorics Seminar: A class of abundant p-singular elements in finite classical groups Other events...
Groups and Combinatorics Seminar

Tomasz Popiel (UWA)

will speak on

A class of abundant p-singular elements in finite classical groups

at 11am on Wednesday 18th of April in MLR2

Abstract: Elements with order divisible by certain primes have underpinned many algorithms for computing in finite classical groups G. For a prime p dividing the order of G and not dividing q, where G is defined over a field with q elements, we introduce a subfamily of the p-singular elements of G (elements with order divisible by p) comprising elements that leave invariant certain "large" subspaces of the natural G-module. We determine the exact asymptotic value of the proportion of these elements in G, which turns out to be a constant multiple of the best known lower bound for the proportion of all p-singular elements, the latter having been obtained in a 1995 paper of Issacs, Kantor and Spaltenstein. We also present an efficient algorithm for testing whether a given element of G belongs to our new subfamily of p-singular elements. This talk represents joint work with Alice Niemeyer and Cheryl Praeger.

All welcome
Speaker(s) Tomasz Popiel
Location Maths Lecture Room 2
Contact Michael Giudici <[email protected]>
Start Wed, 18 Apr 2012 11:00
End Wed, 18 Apr 2012 11:45
Submitted by Michael Giudici <[email protected]>
Last Updated Mon, 16 Apr 2012 09:02
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]