This article is cited in 17 papers

An infinite simple Noetherian group without torsion

A. Yu. Ol'shanskii


Abstract: The well-known Baer conjecture on the “almost polycyclicity” of any Noetherian group is refuted; an example is constructed in terms of generators and defining relations. A complicated simultaneous induction on rank is based on a geometric interpretation of the deducibility of relations from defining relations.
Bibliography: 6 titles.

UDC: 512

MSC: Primary 20E15; Secondary 20F05, 20E32

Received: 24.10.1978

 English version: Mathematics of the USSR-Izvestiya, 1980, 15:3, 531–588

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