publication . Article . Preprint . 2013

filtrations of free groups as intersections

Efrat, Ido;
Open Access
  • Published: 06 Dec 2013 Journal: Archiv der Mathematik, volume 103, pages 411-420 (issn: 0003-889X, eissn: 1420-8938, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
For several natural filtrations of a free group S, we express the n-th term of the filtration as the intersection of all kernels of homomorphisms from S to certain groups of upper-triangular unipotent matrices. This generalizes a classical result of Grun for the lower central filtration. In particular, we do this for the n-th term in the lower p-central filtration of S.
arXiv: Mathematics::Algebraic GeometryMathematics::K-Theory and Homology
free text keywords: General Mathematics, Unipotent, Homomorphism, Mathematics, Filtration, law.invention, law, Topology, Free group, Matrix (mathematics), Mathematics - Group Theory, Primary 20E05 Secondary 20E18
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publication . Article . Preprint . 2013

filtrations of free groups as intersections

Efrat, Ido;