|
This article is cited in 24 scientific papers (total in 24 papers)
A Generalization of Fibonacci Groups
V. G. Bardakov, A. Yu. Vesnin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We study the class of cyclically presented groups which contain Fibonacci groups and Sieradski groups. Conditions are specified for these groups to be finite, pairwise isomorphic, or aspherical. As a partial answer to the question of Cavicchioli, Hegenbarth, and Repov, it is stated that there exists a wide subclass of groups with an odd number of generators cannot appear as fundamental groups of hyperbolic three-dimensional manifolds of finite volume.
Received: 12.02.2001
Citation:
V. G. Bardakov, A. Yu. Vesnin, “A Generalization of Fibonacci Groups”, Algebra Logika, 42:2 (2003), 131–160; Algebra and Logic, 42:2 (2003), 73–91
Linking options:
https://www.mathnet.ru/eng/al22 https://www.mathnet.ru/eng/al/v42/i2/p131
|
Statistics & downloads: |
Abstract page: | 669 | Full-text PDF : | 195 | References: | 77 | First page: | 1 |
|