Dr. Rachel Kathleen Carleton

  • Asst Professor of Instruction at Mathematics, College of Science & Engineering

Scholarly and Creative Works

2024

  • Nicolas  Beike, F. ., Carleton, R. K., David  Costanzo, G. ., Heath, C., Mark  Lewis, L. ., Lu, K., & Jamie  Pearce, D. . (2024). Finite solvable tidy groups whose orders are divisible by two primes. São Paulo Journal of Mathematical Sciences, 18, 1651–1669. https://doi.org/10.1007/s40863-024-00445-4
  • 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. https://doi.org/10.1515/jgth-2023-0076

2023

  • 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.
  • NICOLAS  BEIKE, F. ., Carleton, R. K., DAVID  COSTANZO, G. ., HEATH, C., MARK  LEWIS, L. ., LU, K., & JAMIE  PEARCE, D. . (2023). p-GROUPS WITH CYCLIC OR GENERALISED QUATERNION HUGHES SUBGROUPS: CLASSIFYING TIDY p-GROUPS. Bulletin of the Australian Mathematical Society, 108(3), 443–448. https://doi.org/10.1017/S000497272300031X

2022

  • 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. https://doi.org/10.1017/S0004972721000332