3 citations · 12 across the 9 of their papers we have counts for
11 papers
Watkins's conjecture holds for all infinite groups
Alex J. Sutherland
We prove that at every infinite cardinality, every group which is neither abelian of exponent greater than two nor generalized dicyclic admits a graphical regular representation, s…
Finite-valued invariant metrics and a classification of natural groups
Alex J. Sutherland
Every group , of arbitrary cardinality, admits a right-invariant metric with at most five values whose isometry group is exactly the group of permutations preserving ever…
Six-wave scattering in Hamiltonian Dysthe equations: Euler matching and integrability obstructions
Alex J. Sutherland, Solomon C. Yim
We compute the effective six-wave interaction in spatial and temporal Hamiltonian Dysthe equations and compare it with the complete degree-six coefficient of the deep-water Euler H…
A Summary of Known Bounds on the Essential Dimension and Resolvent Degree of Finite Groups
Alexander J. Sutherland
We summarize what is currently known about ed and RD for finite groups over (i.e. in characteristic 0). In Appendix A, we also give an argument which imp…
Generalized Versality, Special Points, and Resolvent Degree for the Sporadic Groups
Claudio Gómez-Gonzáles, Alexander J. Sutherland, Jesse Wolfson
Resolvent degree is an invariant measuring the complexity of algebraic and geometric phenomena, including the complexity of finite groups. To date, the resolvent degree of a finite…
Upper Bounds on Resolvent Degree via Sylvester's Obliteration Algorithm
Curtis Heberle, Alexander J. Sutherland
For each , let RD denote the minimum for which there exists a formula for the general polynomial of degree in algebraic functions of at most variables. In this…
Upper Bounds on Resolvent Degree and Its Growth Rate
Alexander J. Sutherland
For each , let denote the minimum for which there exists a formula for the general polynomial of degree in algebraic functions of at most variables. I…
G.N. Chebotarev's "On the Problem of Resolvents"
Alexander J. Sutherland
This is an English translation of G.N. Chebotarev's classical paper "On the Problem of Resolvents," which was originally written in Russian and published in Vol. 114, No. 2 of the…
Anders Wiman's "On the Application of Tschirnhaus Transformations to the Reduction of Algebraic Equations''
Alexander J. Sutherland
This is an English translation of Anders Wiman's classical paper "Über die Anwendung der Tschirnhausen Transformation auf die Reduktion algebraischer Gleichungen" from 1927. The or…
Felix Klein's "About the Solution of the General Equations of Fifth and Sixth Degree (Excerpt from a letter to Mr. K. Hensel)"
Alexander J. Sutherland
This is an English translation of Felix Klein's classical paper "Über die Auflösung der allgemeinen Gleichungen fünften und sechsten Grades (Auszug aus einem Schreiben an Herrn K.…
Rational combinations of Betti diagrams of complete intersections
Michael T. Annunziata, Courtney R. Gibbons, Cole Hawkins +1
We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij-Söderberg theory. That is, given a Betti diagram, we determine if it is possible…