Finite frattini factors in finitely generated Abelian-by-polycyclic groups
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- by John C. Lennox
- Proc. Amer. Math. Soc. 41 (1973), 361-362
- DOI: https://doi.org/10.1090/S0002-9939-1973-0333004-1
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Abstract:
A criterion for a group to be finite is used to prove that subgroups of finitely generated Abelian-by-polycyclic groups are finite if their Frattini factor groups are finite.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
- John C. Lennox, Finite Frattini factors in finitely generated soluble groups, Proc. Amer. Math. Soc. 41 (1973), 356–360. MR 333003, DOI 10.1090/S0002-9939-1973-0333003-X
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 361-362
- MSC: Primary 20F05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0333004-1
- MathSciNet review: 0333004