activity
20122022
most citedMaximal subgroups of and its automorphism groups

6 citations · 13 across the 9 of their papers we have counts for

collaborators
Showing math.GRShow all

7 papers · 1 filter

math.GR2022

Integer versions of Yang-Mills theory

R. A. Wilson

In a recent paper, 't Hooft asks for an integer version of Yang-Mills theory, in the belief that this is the way the universe really is at the Planck scale. Specifically, he asks f…

math.GR20213 cited

Potential applications of modular representation theory to quantum mechanics

Robert A. Wilson

There is a unique finite group that lies inside the 2-dimensional unitary group but not in the special unitary group, and maps by the symmetric square to an irreducible subgroup of…

math.GR2021

Options for a finite group model of quantum mechanics

Robert A. Wilson

There are four finite groups that could plausibly play the role of the spin group in a finite or discrete model of quantum mechanics, namely the four double covers of the three rot…

math.GR2020

A group-theorist's perspective on symmetry groups in physics

Robert Arnott Wilson

There are many Lie groups used in physics, including the Lorentz group of special relativity, the spin groups (relativistic and non-relativistic) and the gauge groups of quantum el…

math.GR2018

A negative answer to a question of Aschbacher

Robert A. Wilson

We give infinitely many examples to show that even for simple groups it is possible for the lattice of overgroups of a subgroup to be the Boolean lattice of rank , in su…

math.GR20186 cited

Maximal subgroups of and its automorphism groups

Robert A. Wilson

We give a new computer-assisted proof of the classification of maximal subgroups of the simple group and its extensions by any subgroup of the outer automorphism group…