Groups with free nonabelian subgroups

Melven Robert Krom and Myren Laurance Krom

Vol. 35 (1970), No. 2, 425–427

DOI: 10.2140/pjm.1970.35.425

Abstract

Conditions are given which characterize the class of groups with free nonabelian subgroups. It is also shown that a generalization of the conditions characterize the class of nonamenab# e groups. Neither of these two (possibly identical) classes of groups is the class of models of any finite set of first-order axioms.

Mathematical Subject Classification

Primary: 20.27

Milestones

Received: 21 January 1970

Published: 1 November 1970