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Cyclically presented groups and resultants
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Cremona, J. E. and Edjvet, M. (2010) Cyclically presented groups and resultants. International Journal of Algebra and Computation, Vol.20 (No.3). pp. 417-435. doi:10.1142/S0218196710005777 ISSN 0218-1967.
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Official URL: http://dx.doi.org/10.1142/S0218196710005777
Abstract
We consider the family of irreducible cyclically presented groups on n generators whose generating word (in the standard rewrite) has length at most 15. Using the software packages KBMAG, quotpic and Magma, together with group and number theoretic methods, we show that if 6 <= n <= 100 then the group is non-trivial. In an appendix we list the 47 cases within 2 <= n <= 100 for which we know the group to be trivial, and 27 further cases for which triviality has yet to be determined.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | International Journal of Algebra and Computation | ||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||
ISSN: | 0218-1967 | ||||
Official Date: | May 2010 | ||||
Dates: |
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Volume: | Vol.20 | ||||
Number: | No.3 | ||||
Number of Pages: | 19 | ||||
Page Range: | pp. 417-435 | ||||
DOI: | 10.1142/S0218196710005777 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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