Faculty Profile for Dr. Rachel Kathleen Carleton

Selected Scholarly/Creative Work

• Carleton, R. K., Beike, N. F., Heath, C., Lu, K., Costanzo, D., Lewis, M. L., & Pearce, J. D. (2024). Finite solvable tidy groups are determined by Hall subgroups with two primes. Bulletin of the Australian Mathematical Society, 109(2), 342–349. https://doi.org/10.1017/S0004972723000710
• Carleton, R. K., & Lewis, M. L. (2024). The commuting graph of a solvable A-group. Journal of Group Theory, 28(1), 165–178.
• Beike, N. F., Carleton, R. K., Costanzo, D., Heath, C., Lewis, M. L., Lu, K., & Pearce, J. D. (2023). p-groups with cyclic of generalized quaternion Hughes subgroups: classifying tidy p-groups. Bulletin of the Australian Mathematical Society, 108(3), 443–448.
• Beike, N. F., Carleton, R. K., Costanzo, D. G., Heath, C., Lewis, M. L., Lu, K., & Pierce, J. D. (2022). Extending results of Morgan and Parker about commuting graphs. Bulletin of the Australian Mathematical Society, 105(1), 92–100.