Filtrations of free groups as intersections

Preprint English OPEN
Efrat, Ido;
(2013)
  • Subject: Mathematics - Group Theory | Primary 20E05 Secondary 20E18
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Algebraic Geometry

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 ce... View more
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