References
Cohen, D.E.: Groups of cohomological dimension one. Lecture Notes in Math.245, Berlin-Heidelberg-New York: Springer 1972
Fouxe-Rabinovitch, D.I.: Über die Automorphismengruppe der freien Produkte, I (In Russian). Mat. Sbornik8, 265–276 (1940)
Hoare, A.H.M.: Nielsen methods in groups with a length function. Math. Scand.48, 153–164 (1981)
Humphries, S.P.: On weakly distinguished bases and free generating sets of free groups. Quart. J. Math.36, 215–219 (1985)
Humphries, S.P.: Graphs and Nielsen transformations of symmetric, orthogonal and symplectic groups. Quart. J. Math.36, 279–313 (1985)
Kalia, R.N., Rosenberger, G.: Über Untergruppen ebener diskontinuierlicher Gruppen. Adv. Math.33, 308–327 (1984)
Lyndon, R. C.: Length functions in groups. Math. Scand.12, 209–234 (1963)
Lyndon, R.C., Schupp, P.E.: Combinatorial Group Theory. Berlin-Heidelberg-New York: Springer, 1977
Peczynski, N., Reiwer, W.: On cancellations in HNN-groups. Math. Z.158, 79–86 (1978)
Zieschang, H.: Über die Nielsensche Kürzungsmethode in freien Produkten mit Amalgam. Invent. Math.10, 4–37 (1970)
Zieschang, H.: On subgroups of a free product of cyclic groups. Proc. Steklov Inst. Math.4, 305–316 (1983). Translation of Trudy Math. Inst. Acad. Sci. USSR154, 284–295 (1983)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Collins, D.J., Zieschang, H. On the Nielsen method in free products with amalgamated subgroups. Math Z 197, 97–118 (1988). https://doi.org/10.1007/BF01161632
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01161632