This article is cited in 22 papers

On a Class of Endotransitive Groups

A. R. Chekhlov

Tomsk State University

Abstract: We give a description of the reduced endotransitive torsion-free groups whose kernels of endomorphisms satisfy the ascending chain condition and for which the type of any nonzero element is comparable with some maximal type in the set of types of all nonzero elements of the group.

UDC: 512.541

Received: 07.07.1999

DOI: 10.4213/mzm709

 English version: Mathematical Notes, 2001, 69:6, 863–867

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