88
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On Irreducible Cyclic Presentations of the Trivial Group

&

References

  • [Bosma et al. 97] W. Bosma, J. Cannon, and C. Playoust. “The Magma Algebra System I. The User Language.” J. Symbolic Comput. 24 (1997), 235–265.
  • [Burns and Macedonska 93] R. G. Burns and O. Macedonska. “Balanced Presentations of the Trivial Group.” Bull. London Math. Soc. 25 (1993), 513–526.
  • [Collins 04] D. J. Collins. “Intersections of Magnus Subgroups of One-Relator Groups.” In Groups: Topological, Combinatorial and Arithmetic Aspects, edited by T. W. Müller, London Math. Soc. Lect. Notes 311, pp. 255–296. Cambridge University Press, 2004.
  • [Cremona 08] J. E. Cremona. “Unimodular Integer Circulants.” Math. Comput. 77 (2008), 1639–1652.
  • [Cremona and Edjvet 10] J. E. Cremona and M. Edjvet. “Cyclically Presented Groups and Resultants.” Internat. J. Algebra Comput. 20 (2010) 417–435.
  • [Dunwoody 95] M. J. Dunwoody. “Cyclic Presentations and 3-Manifolds.” In GroupsKorea 94 Proceedings, edited by A. C. Kim and D. L. Johnson, pp. 47–55. De Gruyter, 1995.
  • [Edjvet 03] M. Edjvet. “On Irreducible Cyclic Presentations.” Journal of Group Theory 6 (2003), 261–270.
  • [Edjvet and Hammond 04] M. Edjvet and P. Hammond. “On a Class of Cyclically Presented Groups.” Internat. J. Algebra Comput 14 (2004), 213–240.
  • [Edjvet and Howie 08] M. Edjvet and J. Howie. “Intersections of Magnus Subgroups and Embedding Theorems for Cyclically Presented Groups.” Journal of Pure and Applied Algebra 212 (2008), 47–52.
  • [Edjvet and Spanu 11] M. Edjvet and B. Spanu. “On a Certain Class of Cyclically Presented Groups.” J. Algebra 346 (2011) 165–179.
  • [Edjvet et al. 01] M. Edjvet, P. Hammond, and N. Thomas. “Cyclic Presentations of the Trivial Group.” Experimental Mathematics 10 (2001), 303–306.
  • [Havas and Robertson 03] G. Havas and E. F. Robertson. “Irreducible Cyclic Presentations of the Trivial Group.” Experiment. Math. 12 (2003), 487–490.
  • [Holt 95] D. Holt. “KBMAG: Knuth–Bendix in Monoids and Groups.” Software package and documentation available online (http://homepages.warwick.ac.uk/ mareg/download/kbmag2/), 1995.
  • [Holt et al. 05] D. F. Holt, B. Eick, and E. A. O’Brien. Handbook of Computational Group Theory. Chapman and Hall/CRC, 2005.
  • [Johnson 80] D. Johnson. Topics in the Theory of Group Presentations, Lecture Notes of the London Mathematical Society 42. Cambridge University Press, 1980.
  • [Pride 87] S. Pride. “Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators.” Journal of the London Mathematical Society 36 (1987), 245–256.
  • [Swan et al. 12] J. Swan, G. Ochoa, G. Kendall, and M. Edjvet. “Fitness Landscapes and the Andrews–Curtis Conjecture.” Internat. J Algebra Comput. 22 (2012), 1250009.
  • [Williams 10] A. Williams. “Monoid Automata Factory, version 2.0.3.” Software package available online (http://sourceforge.net/projects/maffsa/), 2010.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.