Vadim K. Vildanov, Egor A. Timoshenko, “On determinability of a quotient divisible Abelian group of rank 1 by its automorphism group”, J. Sib. Fed. Univ. Math. Phys., 2019, Volume 12, Issue 6,Pages <nobr>699

On determinability of a quotient divisible Abelian group of rank 1 by its automorphism group

Vadim K. Vildanov^a, Egor A. Timoshenko^b

^a Lobachevsky State University of Nizhni Novgorod, Gagarina, 23, Nizhni Novgorod, 603950, Russia
^b Tomsk State University, Lenina, 36, Tomsk, 634050, Russia

Abstract: A criterion for determinability of a quotient divisible Abelian group of rank 1 by its automorphism group in the class of quotient divisible Abelian groups of rank 1 is considered in the paper.

Keywords: determinability, quotient divisible group, automorphism group.

UDC: 512.541

Received: 13.02.2019
Received in revised form: 22.07.2019
Accepted: 20.09.2019

Language: English

DOI: 10.17516/1997-1397-2019-12-6-699-704