Williams, G (2012) Largeness and SQ-universality of cyclically presented groups. International Journal of Algebra and Computation, 22 (4). p. 1250035. DOI https://doi.org/10.1142/S021819671250035X
Williams, G (2012) Largeness and SQ-universality of cyclically presented groups. International Journal of Algebra and Computation, 22 (4). p. 1250035. DOI https://doi.org/10.1142/S021819671250035X
Williams, G (2012) Largeness and SQ-universality of cyclically presented groups. International Journal of Algebra and Computation, 22 (4). p. 1250035. DOI https://doi.org/10.1142/S021819671250035X
Abstract
Largeness, SQ-universality, and the existence of free subgroups of rank 2 are measures of the complexity of a finitely presented group. We obtain conditions under which a cyclically presented group possesses one or more of these properties. We apply our results to a class of groups introduced by Prishchepov which contains, amongst others, the various generalizations of Fibonacci groups introduced by Campbell and Robertson.
Item Type: | Article |
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Additional Information: | Electronic version of an article published as [International Journal of Algebra and Computation, Volume 22, Issue 4, 2012, 1250035 (19 Pages)] [http://dx.doi.org/10.1142/S021819671250035X] � [copyright World Scientific Publishing Company] [http://www.worldscientific.com/worldscinet/ijac] |
Uncontrolled Keywords: | Cyclically presented group; largeness; SQ-universality |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 22 May 2012 15:56 |
Last Modified: | 25 Oct 2024 10:40 |
URI: | http://repository.essex.ac.uk/id/eprint/2401 |
Available files
Filename: LargeSQuniCycPresGps.pdf