JOURNAL ARTICLE
Lower Frattini series in finitely generated soluble groups
Year: 1976 Journal: Proceedings of the American Mathematical Society Vol: 57 (1)Pages: 43-44 Publisher: American Mathematical Society
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.
Keywords:
Series (stratigraphy) Mathematics Geology Paleontology
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Topics
Advanced Algebra and Geometry
Physical Sciences → Mathematics → Mathematical Physics
Geometric and Algebraic Topology
Physical Sciences → Mathematics → Geometry and Topology
Algebraic Geometry and Number Theory
Physical Sciences → Mathematics → Geometry and Topology
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