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Presentations of the Trefoil Group

Published online by Cambridge University Press:  20 November 2018

M. J. Dunwoody  and
A. Pietrowski
M. J. Dunwoody
Affiliation:
University of Sussex, Falmer Brighton, U.K.
A. Pietrowski
Affiliation:
University of Toronto, Toronto, Ontario
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A presentation of a group G is an exact sequence of groups

where F is a free group. Let l→S ⊆ F→G→1 be another presentation of G involving the same free group F.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 4 , December 1973 , pp. 517 - 520
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Gilbert Baumslag and Donald Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc. 68 (1962), 199–201.Google Scholar
2. Dunwoody, M. J., On T-systems of groups, J. Austral. Math. Soc. 3 (1963), 172–179.Google Scholar
3. McCool, James and Pietrowski, Alfred, On free products with amalgamation of two infinite cyclic groups, J. Algebra 18 (1971), 377–383.Google Scholar
4. Neumann, Bernhard H. and Neumann, Hanna, Zwei Klassen charakteristischer Untergruppen undihre Faktorgruppen, Math. Nachr. 4 (1951), 106–125.Google Scholar
5. Nielsen, J., Isomorphic der allgemeinen unendlichen Gruppe mit zwei Erzeugenden, Math. Ann. 78 (1917), 385–397.Google Scholar
6. Elvira Strasser Rapaport, Note on Nielsen transformations, Proc. Amer. Math. Soc. 10 (1959), 228–235.Google Scholar