SEMINAR: Groups and Combinatorics Seminar: A class of abundant psingular elements in finite classical groups


Groups and Combinatorics Seminar: A class of abundant psingular elements in finite classical groups 
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Groups and Combinatorics Seminar
Tomasz Popiel (UWA)
will speak on
A class of abundant psingular 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 psingular elements of G (elements with order divisible by p) comprising elements that leave invariant certain "large" subspaces of the natural Gmodule. 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 psingular 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 psingular 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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