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Generator conditions on the fitting subgroup of a polycyclic group
Published online by Cambridge University Press: 20 January 2009
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In an earlier paper (3), polycyclic groups in which every subgroup can be generated by d, or fewer, elements were studied. In this paper we investigate the structure of those polycyclic groups G such that every abelian normal subgroup of F(G), the Fitting subgroup of G, can begenerated by at most d elements.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 4 , September 1977 , pp. 273 - 278
- Copyright
- Copyright © Edinburgh Mathematical Society 1977
References
REFERENCES
(1) Frick, M. and Newman, M. F., Soluble linear groups, Bull. Austral. Math. Soc. 6 (1972), 31–44.CrossRefGoogle Scholar
(2) Hall, P., The Frattini subgroups of finitely generated groups, Proc. London Math. Soc. 11 (1961), 327–352.CrossRefGoogle Scholar
(3) Humphreys, J. F. and McCutcheon, J. J., A bound for the derived length of certain polycyclic groups, J. London Math. Soc. 3 (1971), 463–468.CrossRefGoogle Scholar
(5) Robinson, D. J. S., Finiteness conditions and generalised soluble groups (Springer-Verlag, Berlin, 1972).Google Scholar
(6) Suprunenko, D. A., Soluble and nilpotent linear groups, Transl. Math. Monographs Vol. 9. Amer. Math. Soc, Providence 1963.Google Scholar
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