Finite groups in which the cores of every non-normal subgroups are trivial

2018/93/3-4 (14) — DOI: 10.5486/PMD.2018.8288 — pp. 511-516

Authors: Libo Zhao, Yangming Li and Lü Gong

Abstract:

In this paper, we characterize the finite groups $G$ in which $\bigcap_{g\in G}H^g=1$ or $H$ for every subgroup $H$ in $G$.

Keywords: Dedekind group, primitive group

Mathematics Subject Classification: 20D10, 20D20