JOURNAL ARTICLE
Lower Frattini Series in Finitely Generated Soluble Groups
Year: 1976 Journal: Proceedings of the American Mathematical Society Vol: 57 (1)Pages: 43-43 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
Geometric and Algebraic Topology
Physical Sciences → Mathematics → Geometry and Topology
Advanced Algebra and Geometry
Physical Sciences → Mathematics → Mathematical Physics
Advanced Differential Equations and Dynamical Systems
Physical Sciences → Mathematics → Geometry and Topology
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