Finite Frattini factors in finitely generated soluble groups

John C. Lennox

doi:10.1090/s0002-9939-1973-0333003-x

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Finite Frattini factors in finitely generated soluble groups

John C. Lennox

Year: 1973 Journal: Proceedings of the American Mathematical Society Vol: 41 (2)Pages: 356-360 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9939-1973-0333003-x

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Abstract

Results of Philip Hall are used to prove that subgroups of finitely generated Abelian-by-nilpotent groups are finite if their Frattini factor groups are finite.

Keywords:

Mathematics Finitely-generated abelian group Pure mathematics

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Finite Frattini factors in finitely generated soluble groups

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