Finite non-nilpotent groups with two conjugacy classes of non-normal non-cyclic subgroups

Rolf Br                <meta name=

2020/96/3-4 (12) — DOI: 10.5486/PMD.2020.8720 — pp. 459-474

Finite non-nilpotent groups with two conjugacy classes of non-normal non-cyclic subgroups

Authors: Rolf Brandl, Zahra Rezazadeh and Bijan Taeri

Abstract:

In this paper, we study the structure of finite non-nilpotent groups with two conjugacy classes of non-normal non-cyclic subgroups, having a non-normal non-cyclic Sylow subgroup.

Keywords: non-normal subgroups, non-cyclic subgroups, conjugacy classes of non-normal non-cyclic subgroups, non-nilpotent groups, solvable groups

Mathematics Subject Classification: 20E45, 20D1020D25