SEMINAR: Groups and Combinatorics Seminar: How big is the Sylow p-subgroup of an irreducible solvable subgroup of GL(d,p^f)?
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| Groups and Combinatorics Seminar: How big is the Sylow p-subgroup of an irreducible solvable subgroup of GL(d,p^f)? |
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Time and place: 15:00 Friday 20 November in MLR1.
Speaker: Stephen Glasby (University of Western Australia)
Title: How big is the Sylow p-subgroup of an irreducible solvable subgroup of GL(d,p^f)?
Abstract: Let G be a subgroup of GL(d,q) with q = p^f, where p is a prime. The order |G|_p of a Sylow p-subgroup of G is at most p^{d(d-1)f/2}. We prove that if G is solvable and completely reducible, then there is a much smaller bound. Our first bound |G|_p e p^{(d-1)f} has recently been improved to |G|_p e 2^{(d-1)f} if p
e 3. With thought, the hypothesis of solvability can be eliminated!
This is joint work with Michael Giudici, Cai Heng Li and Gabriel Verret.
| Contact |
Gabriel Verret
<[email protected]>
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| Start |
Fri, 20 Nov 2015 15:00
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| End |
Fri, 20 Nov 2015 16:00
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| Submitted by |
Gabriel Verret <[email protected]>
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| Last Updated |
Thu, 19 Nov 2015 13:20
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