SEMINAR: Groups and Combinatorics Seminar: p-groups, Weyl modules, and maximal subgroups of linear groups
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Groups and Combinatorics Seminar: p-groups, Weyl modules, and maximal subgroups of linear groups |
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Time and place: 15:00 Friday 15 May in Weatherburn LT.
Speaker: Stephen Glasby (University of Western Australia)
Title: p-groups, Weyl modules, and maximal subgroups of linear groups.
Abstract: Given a subgroup H of GL(d,p), there exists a d-generated p-group G whose automorphism group induces the linear group H on the Frattini quotient G/Phi(G). The proof of this fact is non-constructive. In some sense G is a "non-linear representation" of H.
We consider how to go from a *maximal* subgroup H of GL(d,p) to a nonabelian p-group G with minimal class/exponent/order. This involves understanding the H-submodule structure of Weyl modules and some intriguing H-homomorphisms. This work was motivated by applications to geometry and algorithms for p-groups, and is joint with John Bamberg, Luke Morgan and Alice Niemeyer.
Contact |
Gabriel Verret
<[email protected]>
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Start |
Fri, 15 May 2015 15:00
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End |
Fri, 15 May 2015 16:00
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Submitted by |
Gabriel Verret <[email protected]>
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Last Updated |
Tue, 12 May 2015 09:22
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