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This article is cited in 17 scientific papers (total 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.
Received: 24.10.1978
Citation:
A. Yu. Ol'shanskii, “An infinite simple Noetherian group without torsion”, Izv. Akad. Nauk SSSR Ser. Mat., 43:6 (1979), 1328–1393; Math. USSR-Izv., 15:3 (1980), 531–588
Linking options:
https://www.mathnet.ru/eng/im1758https://doi.org/10.1070/IM1980v015n03ABEH001268 https://www.mathnet.ru/eng/im/v43/i6/p1328
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Abstract page: | 552 | Russian version PDF: | 223 | English version PDF: | 30 | References: | 66 | First page: | 1 |
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