Non-amenable finitely presented torsion-by-cyclic groups

Citation
Ay. Ol'Shanskii et Mv. Sapir, Non-amenable finitely presented torsion-by-cyclic groups, EL RES A AM, 7, 2001, pp. 63-71
Citations number
35
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
1079-6762 → ACNP
Volume
7
Year of publication
2001
Pages
63 - 71
Database
ISI
SICI code
1079-6762(2001)7:<63:NFPTG>2.0.ZU;2-0
Abstract
We construct a finitely presented non-amenable group without free non-cycli c subgroups thus providing a finitely presented counterexample to von Neuma nn's problem. Our group is an extension of a group of finite exponent n >> 1 by a cyclic group, so it satisfies the identity [x; y](n) = 1.