New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups

نویسندگان
Herzog, Marcel ID 1
Maj, Mercede ID 2
Longobardi, Patrizia ID 3

1 Dipartimento di Matematica, Università di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano (Salerno), Italy

2 Dipartimento di Matematica, Università di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano (Salerno), Italy

3 Dipartimento di Matematica, Università di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano (Salerno), Italy

doi
10.22108/ijgt.2022.131888.1766
چکیده

In this survey we shall describe some recent criteria for solvability, nilpotency and other properties of finite groups $G$, based either on the orders of the elements of $G$ or on the orders of the subgroups of $G$.

کلیدواژه‌ها
element orders, solvability, nilpotency