References
- Amiri, H., Jafarian Amiri, S. M., Isaacs, I. M. (2009). Sums of element orders in finite groups. Commun. Algebra, 37(9):2978–2980. DOI: 10.1080/00927870802502530.
- Baniasad Azad, M., Khosravi, B. (2018). A criterion for solvability of a finite group by the sum of element orders. J. Algebra 516:115–124. DOI: 10.1016/j.jalgebra.2018.09.009.
- Baniasad Azad, M., Khosravi, B. (2020). A criterion for p-nilpotency and p-closedness by the sum of element orders. Commun. Algebra 48(12):5391–5395. DOI: 10.1080/00927872.2020.1788571.
- Baniasad Azad, M., Khosravi, B., Jafarpour, M. (2022). An answer to a conjecture on the sum of element orders. J. Algebra Appl. 21:2250067. DOI: 10.1142/S0219498822500670.
- Baniasad Azad, M., Khosravi, B. (2020). Properties of finite groups determined by the product of their element orders. Bull. Aust. Math. Soc. 103:88–95. DOI: 10.1017/S000497272000043X.
- Baniasad Azad, M., Khosravi, B. (2021). On two conjectures about the sum of element orders. Can. Math. Bull. DOI: 10.4153/S0008439521000047.
- Baniasad Azad, M., Khosravi, B. (2019). On the sum of element orders of PSL(2,p) for some p. Ital. J. Pure Appl. Math 2:18–24.
- Garonzi, M., and Patassini, M. (2017). Inequalities detecting structural properties of a finite group. Commun. Algebra 45(2):677–687. DOI: 10.1080/00927872.2016.1172621.
- Herzog, M., Longobardi, P., Maj, M. (2018). An exact upper bound for sums of element orders in non-cyclic finite groups. J. Pure Appl. Algebra 222(7):1628–1642.
- Herzog, M., Longobardi, P., Maj, M. (2018). Two new criteria for solvability of finite groups. J. Algebra 511:215–226. DOI: 10.1016/j.jalgebra.2018.06.015.
- Herzog, M., Longobardi, P., Maj, M. (2018). Properties of Finite and Periodic Groups Determined by their Element Orders (A Survey). Group Theory and Computation. Berlin: Springer.
- Herzog, M., Longobardi, P., Maj, M. (2022). Another criterion for solvability of finite groups. J. Algebra 597:1–23. DOI: 10.1016/j.jalgebra.2022.01.005.
- Isaacs, I. M. (2008). Finite Group Theory. Providence, RI: American Mathematical Society.
- Khosravi, B., Baniasad Azad, M. (2020). Recognition by the product element orders. Bull. Malays. Math. Sci. Soc. 43(2):1183–1193.
- Tărnăuceanu, M. (2021). A criterion for nilpotency of a finite group by the sum of element orders. Commun. Algebra 49:1571–1577. DOI: 10.1080/00927872.2020.1840575.
- Tărnăuceanu, M. (2020). Detecting structural properties of finite groups by the sum of element orders. Israel J. Math. 238(2):629–637.
- Tărnăuceanu, M. Another criterion for supersolvability of finite groups, arXiv:2201.04760.