Deep Signature: characterization of large-scale molecular dynamics
Qin, T
Zhu, M
Li, C
Lyons, T
Yan, H
Li, H
(03 Oct 2024)
Effective resistance is more than distance: Laplacians, Simplices and the Schur complement
Devriendt, K
(09 Oct 2020)
Fast Node Vector Distance Computations using Laplacian Solvers
Coscia, M
Devriendt, K
(17 Oct 2023)
http://arxiv.org/abs/2310.11222v1
Tropical toric maximum likelihood estimation
Boniface, E
Devriendt, K
HoÅten, S
(09 Jul 2025)
Kemeny's constant and the Lemoine point of a simplex
Devriendt, K
(30 May 2024)
http://arxiv.org/abs/2405.20300v2
Uniform density in matroids, matrices and graphs
Devriendt, K
Mulas, R
(27 Jun 2023)
http://arxiv.org/abs/2306.15267v2
The Two Lives of the Grassmannian
Devriendt, K
Friedman, H
Reinke, B
Sturmfels, B
(08 Jan 2024)
http://arxiv.org/abs/2401.03684v3
Graphs with nonnegative resistance curvature
Devriendt, K
(10 Oct 2024)
Prospects for γ-ray observations of the Perseus galaxy cluster with the Cherenkov Telescope Array
Abe, K
Abe, S
Acero, F
Acharyya, A
Adam, R
Aguasca-Cabot, A
Agudo, I
Aguirre-Santaella, A
Alfaro, J
Alfaro, R
Alvarez-Crespo, N
Alves Batista, R
Amans, J
Amato, E
Angüner, E
Antonelli, L
Aramo, C
Araya, M
Arcaro, C
Arrabito, L
Asano, K
Ascasíbar, Y
Aschersleben, J
Ashkar, H
Journal of Cosmology and Astroparticle Physics
volume 2024
issue 10
(01 Oct 2024)
Wed, 16 Oct 2024
16:00
16:00
L6
Solvability and Order Type for Finite Groups
Pawel Piwek
(University of Oxford)
Abstract
How much can the order type - the list of element orders (with multiplicities)—reveal about the structure of a finite group G? Can it tell us whether G is abelian, nilpotent? Can it always determine whether G is solvable?
This last question was posed in 1987 by John G. Thompson and I answered it negatively this year. The search for a counterexample was quite a puzzle hunt! It involved turning the problem into linear algebra and solving an integer matrix equation Ax=b. This would be easy if not for the fact that the size of A was 100,000 by 10,000…