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

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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
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