References
L. Greenberg, Discrete groups of motions. Canad. J. Math.12, 414–425 (1960).
P.Hall, The Edmonton notes on nilpotent groups. Queen Mary College Mathematics Notes, 1969.
B. Hartley, J. C. Lennox, andA. H. Rhemtulla, Cyclically separated groups. Bull. Austral. Math. Soc.26, 355–384 (1982).
P. H. Kropholler, On finitely generated soluble groups with no large wreath product sections, Proc. London Math. Soc. (3)49, 155–169 (1984).
J. C. Lennox, On quasinormal subgroups of certain finitely generated groups. Proc. Edinburgh Math. Soc.26, 25–28 (1983).
A. I. Malcev, Nilpotent torsion-free groups. Izvestia Akad. Nauk. SSSR, Ser. Mat.13, 201 -212 (1949).
D.Meier and A. H.Rhemtulla, On torsion-free groups of finite rank. To appear.
D. J. S.Robinson, Finiteness conditions and generalized soluble groups. Ergeb. Math. Grenzgeb.62,63, Berlin-Heidelberg-New York 1972.
Author information
Authors and Affiliations
Additional information
Research partially supported by a grant from Natural Sciences and Engineering Research Council of Canada. We thank NSERC Canada for this. 1980 Mathematics subject classification. Primary 20F16; Secondary 20E34.
Rights and permissions
About this article
Cite this article
Meier, D., Rhemtulla, A. Rank restricting properties of finitely generated soluble groups. Arch. Math 44, 216–224 (1985). https://doi.org/10.1007/BF01237853
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01237853