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


Groups and Combinatorics Seminar, Coprime actions of finite linear groups 
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Abstract:
Let H be a finite linear group acting completely reducibly on a finite vector space V. Gabriel Navarro asked: if the Horbits containing vectors a and b have coprime lengths m and n, is there an Horbit of length mn?
We answered, by showing that the Horbit 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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