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SEMINAR: Groups and Combinatorics Seminar, Coprime actions of finite linear groups

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Today's date is Saturday, October 31, 2020
Groups and Combinatorics Seminar, Coprime actions of finite linear groups Other events...
Abstract:

Let H be a finite linear group acting completely reducibly on a finite vector space V. Gabriel Navarro asked: if the H-orbits containing vectors a and b have coprime lengths m and n, is there an H-orbit of length mn? We answered, by showing that the H-orbit containing a + b has length mn, and by showing, moreover, that in this situation H cannot be irreducible. That is to say, a stabiliser in an affine primitive permutation group does not have a pair of orbits of coprime lengths. I will make some comments, if time permits, about coprime orbit lengths for stabilisers in arbitrary primitive permutation groups. This is joint work with Silvio Dolfi, Bob Guralnick and Pablo Spiga.
Speaker(s) Cheryl Praeger
Location Weatherburn Lecture Theatre
Contact Irene Pivotto <[email protected]>
Start Fri, 25 Oct 2013 15:00
End Fri, 25 Oct 2013 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Mon, 21 Oct 2013 16:38
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