References
- Acciarri, C., Shumyatsky, P. (2014). On finite groups in which coprime commutators are covered by few cyclic subgroups. J. Algebra 407:358–371. DOI: 10.1016/j.jalgebra.2014.02.033.
- Acciarri, C., Shumyatsky, P., Thillaisundaram, A. (2014). Conciseness of coprime commutators in finite groups. Bull. Aust. Math. Soc. 89(2):252–258. DOI: 10.1017/S0004972713000361.
- Bastos, R., Monetta, C., Shumyatsky, P. (2018). A criterion for metanilpotency of a finite group. J. Group Theory 21(4):713–718. DOI: 10.1515/jgth-2018-0002.
- Bastos, R., Shumyatsky, P. (2016). A sufficient condition for nilpotency of the commutator subgroup. Sib. Math. J. 57(5):762–763. DOI: 10.1134/S0037446616050037.
- Baumslag, B., Wiegold, J. (2014). A sufficient condition for nilpotency in a finite group. Preprint available at arXiv:1411.2877v1 [math.GR]
- Freitas de Andrade, A., Carrazedo Dantas, A. (2018). A sufficient condition for nilpotency of the nilpotent residual of a finite group. J. Group Theory 21(2):289–293. DOI: 10.1515/jgth-2017-0041.
- Gorenstein, D. (1980). Finite Groups. New York, NY: Chelsea Publishing Company.
- Monakhov, V. S. (2017a). The nilpotency criterion for the derived subgroup of a finite group. Problem of Physics, Mathematics and Technics 3 (32):58–60.
- Monakhov, V. S. (2017b). A metanilpotency criterion for a finite solvable group. Trudy Instituta Matematiki i Mekhaniki UrO RAN 23:253–256.
- Monetta, C., Tortora, A. A nilpotency criterion for some verbal subgroups. Bull. Aust. Math. Soc. preprint available at arXiv:1812.02123 [math.GR] (2018).
- Pellegrini, M. A., Shumyatsky, P. (2012). Comprime commutators in PSL(2, q). Arch. Math. Mathematik 99(6):501–507. DOI: 10.1007/s00013-012-0465-0.
- Robinson, D. J. S. (1995). A Course in the Theory of Groups. 2nd edn. Berlin, Heidelberg: Springer-Verlag.
- Shumyatsky, P. (2015). Commutators of elements of coprime orders in finite groups. Forum Mathematicum 27:575–583.
- Suzuki, M. (1962). On a class of doubly transitive groups. Ann. Math. 75(1):105–145. DOI: 10.2307/1970423.
- Suzuki, M. (1982). Group Theory I. New York, NY: Springer.
- Thompson, J. G. (1968). Nonsolvable finite groups all of whose local subgroups are solvable. Bull. Am. Math. Soc. 74(3):383–437. DOI: 10.1090/S0002-9904-1968-11953-6.
- Turull, A. (1984). Fitting height of groups and of fixed points. J. Algebra 86(2):555–566. DOI: 10.1016/0021-8693(84)90048-6.