Lower Frattini series in finitely generated soluble groups
HTML articles powered by AMS MathViewer
- by John C. Lennox and James Wiegold PDF
- Proc. Amer. Math. Soc. 57 (1976), 43-44 Request permission
Abstract:
It is proved that some term of the lower Frattini series of a finitely generated abelian-by-polycyclic group is trivial. The analogous result for finitely generated centre-by-metabelian groups is false.References
- P. Hall, Finiteness conditions for soluble groups, Proc. London Math. Soc. (3) 4 (1954), 419–436. MR 72873, DOI 10.1112/plms/s3-4.1.419
- P. Hall, On the finiteness of certain soluble groups, Proc. London Math. Soc. (3) 9 (1959), 595–622. MR 110750, DOI 10.1112/plms/s3-9.4.595
- K. A. Hirsch, On infinite soluble groups. V, J. London Math. Soc. 29 (1954), 250–251. MR 61599, DOI 10.1112/jlms/s1-29.2.250
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 43-44
- MSC: Primary 20E15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0414711-1
- MathSciNet review: 0414711