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SEMINAR: Groups and Combinatorics Seminar:On probabilistic generation of classical groups

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Today's date is Friday, November 27, 2020
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Groups and Combinatorics Seminar

Sukru Yalcinkaya (UWA)

will speak

On probabilistic generation of classical groups

at 1pm Friday 18th of November in MLR2

Abstract: Let G be a classical group and V be the underlying vector space of dimension 2n over a field of size q. Let ppd(q,n) denote a prime number which divides q^n-1 but not q^i-1 for i<n. Generically, such primes exist by Zsigmondy's result. We consider the elements of order ppd(n,q) which act irreducibly on a unique n-dimensional subspace and fix pointwise an n-dimensional subspace of V. We call these elements good elements. I will discuss the probabilistic generation of G by two random conjugate good elements and present an application in the computational group theory. This is a joint work with Cheryl Praeger and Akos Seress.
Speaker(s) Sukru Yalcinkaya
Location Maths Lecture room 2
Contact Michael Giudici <[email protected]>
Start Fri, 18 Nov 2011 13:00
End Fri, 18 Nov 2011 13:45
Submitted by Michael Giudici <[email protected]>
Last Updated Tue, 15 Nov 2011 09:50
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