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Published November 2003 | public
Journal Article

On Co-Hopfian Nilpotent Groups

Abstract

Co-Hopfian finitely generated torsion-free nilpotent groups are characterized in this paper in terms of their Lie algebra automorphisms. Many examples of such groups are also constructed.

Additional Information

© 2003 London Mathematical Society. Received August 27, 2002; Revision received February 4, 2003. It is a pleasure to thank J. M. Ancochea for showing me some examples of characteristically nilpotent Lie algebras, O. V. Belegradek and the referee for comments on the first version of the paper, and K. Dekimpe for Remark 5.2. Partially supported by NSF Grant # DMS-0203979.

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023