Vol. 31, No. 3, 1969

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Groups which are minimal with respect to normality being intransitive

Derek J. S. Robinson

Vol. 31 (1969), No. 3, 777–785
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
Authors
Derek J. S. Robinson
http://www.math.uiuc.edu/~robinson/