From "Graphs Associated with Groups" REU mentored by Professor Mark Lewis. All works are joint with Nicolas F. Beike, Rachel Carleton, David G. Costanzo, Colin Heath, Mark L. Lewis, and Jamie D. Pearce.
Extending Morgan and Parker's results about commuting graphs
Bulletin of the Australian Mathematical Society. 105(1):92-100 (2022). Also on [arXiv].
p-groups with cyclic or generalised quaternion Hughes subgroups: classifying tidy p-groups
Bulletin of the Australian Mathematical Society. 108(3):443-448 (2023).
Finite solvable tidy groups are determined by Hall subgroups with two primes
Bulletin of the Australian Mathematical Society. 109(2):342-349 (2024).
Finite solvable tidy groups whose orders are divisible by two primes
São Paulo J. Math. Sci. 18, 1651-1669 (2024). Also on [arXiv].