SEMINAR: Groups and Combinatorics Seminar: Phill Schultz, 4pm Aug 2 in Weatherburn LT
|Groups and Combinatorics Seminar: Phill Schultz, 4pm Aug 2 in Weatherburn LT
Speaker: Phill Schultz (University of Western Australia)
Title: Actions of Aut(V) on linearly independent subsets of a vector space V
Time and place: 4pm Friday 02 Aug 2019, Weatherburn LT
Abstract: Let V be a finite dimensional rational vector space. The action of the general linear group Aut(V) on the set of bases of V is the main content of First Year Linear Algebra, so you might think there can be nothing new to say about it; but the subject still holds a few surprises.
For example, if G is a subgroup of V, the stabilizer of G in Aut(V) acts on the set of maximal linearly independent subsets of V contained in G. The orbits of this action determine the indecomposable decompositions of G.
Furthermore, the stabilizer of the set of subgroups of V containing G as a subgroup of finite index acts transitively on a larger set of linearly independent subsets, and this action determines a coarse structure theorem for G.
Fri, 02 Aug 2019 16:00
Fri, 02 Aug 2019 17:00
Stephen Glasby <[email protected]>
Thu, 01 Aug 2019 12:06
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