Finite non-nilpotent groups with few non-normal non-cyclic subgroups

نویسندگان
Rezazadeh, Zahra ID 1
Mousavi, Hamid ID 2

1 Department of‎ ‎Mathematical Sciences‎, ‎Isfahan University of Technology‎, ‎P.O.Box 84156-83111‎, ‎Isfahan‎, ‎Iran

2 Department of‎ ‎Mathematical Sciences, ‎University of Tabriz‎, ‎P.O.Box 51666-16471‎, ‎Tabriz‎, ‎Iran

doi
10.22108/ijgt.2017.21222
چکیده

‎‎For a finite group $G$‎, ‎let $\nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$‎. ‎We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate‎.

کلیدواژه‌ها
‎Non-normal subgroups, Conjugacy classes of non-normal subgroups, Non-nilpotent groups