Faculty Profiles

Keller, T. M., & Yang, Y. (2025). Bounding the number of p’-degrees characters from below. Forum Mathematicum, 37, 1545–1549.

Keller, T. M., & Moreto, A. (2024). Prime divisors and the number of conjugacy classes of finite groups. Mathematical Proceedings of the Cambridge Philosophical Society, 176(1), 1–16.

Huang, Z., Keller, T. M., Kissinger, S., Plotnick, W., Roma, M., & Yang, Y. (2024). A classification of the prime graphs of pseudo-solvable groups. Journal of Group Theory, 27(1), 89–117.

Florez, C., Higgins, J., Huang, K., Keller, T. M., & Shen, D. (2024). The adjacency spectra of some families of minimally connected prime graphs. Involve, 17(1), 107–120.

Cinarci, B., & Keller, T. M. (2024). A new lower bound for the number of conjugacy classes. Proc. Amer. Math. Soc., 152(9), 3757–3764.

Cinarci, B., & Keller, T. M. (2024). The largest orbit sizes of linear group actions and abelian quotients. J. Algebra, 654, 1–24.

Edwards, E. J., Keller, T. M., Pesak, R. M., & Sellakumaran Latha, K. (2024). The prime graphs of groups with arithmetically small composition factors. Ann. Mat. Pura Appl. (4), 203(2), 945–973.

Cinarci, B., & Keller, T. M. (2024). Linear group actions with at most three orbits of the largest size. Monatshefte Fur Mathematik, 203(2), 313–322. https://doi.org/10.1007/s00605-023-01850-1

Keller, T. M., & Yang, Y. (2023). Regular and p-regular orbits of solvable linear groups, II. Algebra Colloquium, 30, 301–304.

Keller, T. M., Lv, H., Qian, G., & Yang, D. (2023). Minimal orbit sizes in nilpotent group actions. Journal of Algebra and Its Applications, 22(7).

Harrison, T., Keller, T. M., & Rice, J. A. (2023). Groups with a large conjugacy class relative to a normal subgroup. Houston Journal of Mathematics, 49(1), 77–86.

Belloti, C., Keller, T. M., & Trudgian, T. S. (2023). New bounds for numbers of primes in element orders of finite groups. Mathematische Nachrichten, 296(11), 5227–5231.

Gintz, M., Keller, T., Kortje, M., Wang, Z., & Yang, Y. (2022). The number of set orbits of permutation groups and the group order. Bulletin of the Australian Mathematical Society, 106, 89–101.

Florez, C., Higgins, J., Huang, K., Keller, T., Shen, D., & Yang, Y. (2022). On the prime graphs of several classes of finite groups. Journal of Pure and Applied Algebra, 226, 106990.

Keller, T. M., & Pohlman, A. L. (2022). Orbit sizes and the central product group of order 16. Annali Di Matematica Pura Ed Applicata, 201(4), 1965–1991.

Hung, N. N., Keller, T. M., & Yang, Y. (2021). A lower bound for the number of odd-degree representations of a finite group. Mathematische Zeitschrift, 298, 1559–1572.

Betz, A., Chao-Haft, M., Gong, T., Keller, T. M., Ter-Saakov, A., & Yang, Y. (2021). Finite permutation groups with few orbits under the action on the power set. Rocky Mountain J. Math., 51(5), 1553–1565.

Keller, T. M., & Moreto, A. (2021). Character degrees, conjugacy class sizes, and element orders: three primes. Arch. Math. (Basel), 117, 241–251.

Jones, N. A., & Keller, T. M. (2020). Orbit sizes and the dihedral group of order eight. Ann. Mat. Pura Appl. (4), 199, 2323–2340.

Keller, T. M., & Yang, Y. (2020). Abelian quotients and orbit sizes of linear groups. Sci. China Math., 63, 1523–1534.

Keller, T. M., & Yang, Y. (2018). Class 2 quotients of solvable linear groups. Journal of Algebra, 509, 386–396.

Keller, T. M., Turull, A., & Wolf, T. R. (2018). Direct products of groups and regular orbits. Journal of Algebra, 494, 137–141.

Keller, T. M., & Yang, Y. (2016). Abelian quotients and orbit sizes of solvable linear groups. Israel Journal of Mathematics, 211, 23–44.

Keller, T. M. (2015). A combinatorial problem arising in group theory. Australas. J. Combin., 61, 175–181.

Keller, T. M., & Yang, Y. (2015). On nilpotent and solvable quotients of primitive groups. J. Group Theory, 18, 553–563.

Keller, T. M., Gruber, A., Lewis, M. L., Naughton, K. A., & Strasser, B. (2015). A Characterization of the Prime Graphs of Solvable Groups. J. Algebra, 442, 397–422.

Keller, T. M., & Yang, Y. (2014). Orbits of finite solvable groups on characters. Israel J. Math, 199, 933–940.

Keller, T. M., & Yang, Y. (2014). Regular and p-regular orbits of solvable linear groups. J. Algebra, 398, 509–518.

Keller, T. M. (2011). Finite groups have even more conjugacy classes. Israel J. Math, 181, 433–444.

Keller, T. M., Hethelyi, L., Horvath, E., & Maroti, A. (2011). Groups with few conjugacy classes. Proc. Edinb. Math. Soc., 54(2), 423–430.

Keller, T. M. (2010). Gaps in character degrees for groups with many conjugacy classes. In Character Theory of Finite Groups, Contemporary Mathematics (Vol. 524, pp. 83–92). Providence, RI.

Keller, T. M. (2009). Lower bounds for the number of conjugacy classes of finite groups. Math. Proc. Cambridge Philos. Soc., 147, 567–577.

Keller, T. M. (2009). Counting characters in linear group actions. Israel J. Math, 171, 367–384.

Keller, T. M. (2006). Fixed conjugacy classes of normal subgroups and the k(GV)-problem. J. Algebra, 305, 457–486.

Keller, T. M., Isaacs, I. M., Meierfrankenfeld, U., & Moreto, A. (2006). Fixed point spaces, primitive character degrees, and conjugacy class sizes. Proc. Amer. Math. Soc., 134, 3123–3130.

Keller, T. M., Isaacs, I. M., Lewis, M. L., & Moreto, A. (2006). Transitive permutation groups in which all derangements are involutions. J. Pure Appl. Algebra, 207, 717–724.

Keller, T. M. (2006). Derived length and conjugacy class sizes. Adv. Math, 199, 88–103.

Keller, T. M. (2006). Inductive arguments for the non--coprime k(GV)--problem. Algebra Colloq, 13, 35–39.

Keller, T. M., Ragan, D., & Tims, G. T. (2006). On the Taketa bound for normally monomial p-groups of maximal class. J. Algebra, 277, 675–688.

Keller, T. M. (2005). The k(GV)-problem revisited. J. Austral. Math. Soc., 79, 257–276.

Keller, T. M. (2003). A new approach to the k(GV)-problem. J. Austral. Math. Soc., 75, 193–219.

Keller, T. M. (2003). Orbits in finite group actions, Mathematical Society Lecture Notes Series. Cambridge University Press (Vol. 305, pp. 306–331).

Keller, T. M. (2002). Orbit sizes and character degrees, III. J. Reine Angew. Math., 545, 1–17.

Keller, T. M. (2000). On the orbit sizes of permutation groups on the power set. Algebra Colloq., 7, 27–32.

Keller, T. M. (1999). Orbit sizes and character degrees, II. J. Reine Angew. Math., 516, 27–114.

Keller, T. M. (1999). Orbit sizes and character degrees. Pacific J. Math, 187, 317–332.

Keller, T. M. (1997). On the asymptotic Taketa bound for A-groups. J. Algebra, 191, 127–140.

Keller, T. M. (1995). Group order and element orders in solvable groups, Berichte aus der Mathematik. Aachen, Germany: Shaker Verlag.

Keller, T. M. (1995). A linear bound for ?(n). J. Algebra, 178, 643–652.

Keller, T. M. (1995). Solvable groups with at most four prime divisors in the element orders. J. Algebra, 175, 1–23.

Keller, T. M. (1995). On the asymptotic behaviour of ?(n). J. Algebra, 174, 587–598.

Keller, T. M. (1994). Solvable groups with a small number of prime divisors in the element orders. J. Algebra, 170, 625–648.

Keller, T. M., & Yang, Y. (1925). Abelian quotients and orbit sizes of solvable linear groups. Israel J. Math.