A note on CLT groups

Henry Gilbert Bray

Vol. 27 (1968), No. 2, 229–231

DOI: 10.2140/pjm.1968.27.229

Abstract

Let A, B, C be respectively the class of all finite super-solvable groups, the class of all finite groups which satisfy the converse to Lagrange’s theorem, and the class of all finite solvable groups. We show that A ⊂ B ⊂ C, and give examples to show that both of the inclusions are actually proper.

Mathematical Subject Classification

Primary: 20.25

Milestones

Received: 6 November 1967

Published: 1 November 1968