Groups which are minimal with respect to normality being intransitive

Derek J. S. Robinson

Vol. 31 (1969), No. 3, 777–785

DOI: 10.2140/pjm.1969.31.777

Abstract

A T-group is a group in which normality is transitive and a minimal non-T-group is a group which is not a T-group but all of whose proper subgroups are T-groups. In this note all the finite minimal non −T-groups are determined and it is shown that this classification also accounts for all the minimal non-T-groups which are either locally finite or 2-groups.

Mathematical Subject Classification

Primary: 20.27

Milestones

Received: 14 May 1969

Published: 1 December 1969