Filtrations of free groups as intersections
Group Theory
2014-09-30 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1312.1811,
title = {Filtrations of free groups as intersections},
author = {Ido Efrat},
journal= {arXiv preprint arXiv:1312.1811},
year = {2014}
}